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Geometry Q&A Archive of September 7, 2021

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September 7 of 2021

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0 * Conjecture PR I QUESTIONS: Answer the question that indicates the necessary data. The Correct Lmener steps and will receive credit. Clearly explain your reasoning. An answer with no work shown will only receive correct numbered credit. For all questions in this part, receive only…

Answer all questions in this part. The correct answer will receive credits. Clearly state the questions: reasoning: For all questions in this part, correct numerical answers that indicate the necessary steps and explain your answer with no work shown will receive only credit. ABCDEF is shown…

RT II QUESTIONS: Answer questions in this part. Each question requires specific steps and explanations. For all questions in this part, only a correct numerical answer with no work shown will receive credit. 10. Point A(-41) is translated to point A' and then reflected across the x-axis to…

The vertices of RECTANGLE ABCD are A(4, 1), B(0, 7), C(3, 9), and D(7, 3). Prove the statement that "the diagonals of a rectangle are congruent": Diagonal AC = Diagonal BD The diagonal segments are the same. Therefore, they are congruent.

Which of the following is ONLY property of translations? (1) Perpendicular Lines map to perpendicular lines Angles are preserved Parallel lines map parallel lines (4) Distance is preserved

Use similar triangles In the diagram below, OL is perpendicular to DX. Find the length of OX. If entering your answer as a decimal, round your final answer to the nearest hundredth. OX = units

AQRS with Q( _ [) R(-1,3).S(3,-1) is reflected about the X-axis. Graph and record the coordinates of Uua' IklM with /(14) K(3,2).L(2,-2) M(-3,1) reflected about the Y-axis. Graph and record the coordinates of Ulu.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

What is the line that point A is reflected over to create its image, B? Name the point that is the image of A when it is reflected across y. What is the line that point A is reflected over to create its image, F? What is the line that point A is reflected over to create its image, O? What is…

If the scalar field V = 4x^2 + 48y^2 + 5z^2 is harmonic, the value of the constant 'B' is a. 6.75 b. 0.56 c. 15.75 d. 2.25 e. 4.50

A direction vector for the line 2-4 2 9+3 5 = 2 = lis V=(4,-3,1) 0 b. V=(-2,-5,0) cV=(-2,5,1) d.V=(-2,-5,-1) V=(-2,-5,1)

17. Given: H is the centroid of ΔEDF. Prove: EY + FY > DE Statements Reasons 1. H is the centroid of ΔEDF. 1. Given 2. EY is a median. 2. 3. 3. Definition of median 4. 4. Definition of midpoint 5. EY + DY > DE 5. 6. EY + FY > DE 6.

In the figure at right, arc BD is centered at A, and it has the same length as tangent segment BC. Explain why sector ABD has the same area as triangle ABC.

Find the area and perimeter of the shaded figure: Use Ï€ = 3.14. (12 marks) Sin 61Â° in 3 in

Write a two-column proof of the following: Given: ZW = AX LZWX and LYXW are right angles Prove: AZXW = AYWX Given: LABC = ZDCB, ZCBD = ZBCA Prove: AABC' = ADCB Given: EF = LG, FG = HG, ZE = ZH Prove: EF = HG

9 VU = SU = 15 TV = SW =

10. # | e | m | n

Question 4 (10 points) What is the value of x in the diagram below? 445 St 20| 361

Question 4: Given that Î£ is the portion of the cone (C) that lies between the planes z = 2 and z = 5, sketch the surface Î£ and identify the region of integration. Determine dS. (i) Set up the iterated double integral and evaluate it. Let C be the circle x^2 + y^2 = 16 that forms the…

1. PQRS is a rhombus. (Given) 2. PQRS is a parallelogram. (Rhombus - parallelogram) 3. mâˆ PTQ = 90Â°, mâˆ LSTR = 90Â° (Parallelogram - diagonals 1) 4. âˆ†ZPTQ ~ âˆ†LSTR (Right angles - theorem) 5. PT ~ TS and QT = TR (Parallelogram - diagonals bisect each other) 6. âˆ TSR =…

Example 2 Given: 1) <ABC =<CBD 2) <ABC and <CBD are linear pair Conclusion: Statements Reasons

Gwcn Parallelogram ABCD with AB extended to P so that CP = OP. OPCD is rectangular. AP = PQ TP = SQ Square Placzuols Rectangles

Everyone completes this slide. Master Slide for Group #6. Triangle POR-Triangle STU: UT-20, RO-5, and PQ-3. Task #1: Find ST. Write your answer in the box below and SHOW YOUR WORK ON A SEPARATE SHEET OF PAPER. m<Q-65 and m<S-90. Task #2: Find the m<U. Write your answer in the box below and SHOW…

Everyone completes this slide. Master Slide for Group #3. Triangle GIH ~ Triangle GI'H". GI = 10, GI' = 6, and GH = 12. Task #1: Find the measure of GH'. Write your answer in the box below: SHOW YOUR WORK ON A SEPARATE SHEET OF PAPER. m<G = 43, m<l' = 95. Task #2: Find the m<H. Write your…

101 1 . Construct & circle tangent to both lines: 2. Construct & circle tangent to both parallel Iines:

The Bisector of an Angle Problem: Bisect an angle. Solution: 1. Draw an arc with center A that intersects both sides of the angle. 2. Label the intersections as B and D. 3. Draw an arc with B as the center. Use the same radius to draw an arc with D as the center. Make these arcs intersect. 4.…

Activity A Solve for the missing angles!

Triangle ABC is translated and then reflected to map triangle A"B"C" as shown. Which of the following postulates or theorems proves the triangles congruent? AA Postulate HL Postulate ASA Theorem SSA Theorem

Based on the ligure below; select all statements Ihat apply:

Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90° about the intersection of the lines creating the vertical angles (2) a rotation by 180° about the intersection of the lines creating the vertical angles (3) a translation in the…

Given the right triangle below with altitude drawn; choose all of the statements that are true

LA and LB are supplementary angles. If mZA = (8x + 25)Â° and mLB = (Tc - 5)Â°, then find the measure of ZB.

List the sides in order from shortest to longest. (5x - 4018) (Tx - 8j8) (1Ox)?

Consider the polygon. Show Your Work. Count the number of sides. How many triangles can be created by connecting diagonals from one vertex? Give the answer in the answer box as the number of sides minus the number of triangles. Geometric formula for the interior angle of a convex polygon: Sum…

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why. (4 points each) 659 650 50

Find mZA A 96 G B 114

Score: 0 of 1 pt 9.2.1 Find the surface area of the pyramid 14in 16 in The surface area of the pyramid i5 (Type a whole number ) in2

Hauling the truck pulls 750 pounds. The truck can hold 2 tons of gravel. The payloader loads the truck one at a time. Does the payloader dump the truck before it is full? How many loads does the payloader need to dump the gravel?

In the image below; there are two planes cutting along the diagonals inside of box: Use this figure t0 answer the following questions: Your answer should be accurate to one decimal place: 6 _ 6 5 10 cm

11) Find mZA C 17 10 A B 11

An obtuse scalene triangle is congruent to an acute scalene triangle. Median of triangle ABC is a segment. Then, AC is the hypotenuse. I thought of one triangle as congruent to another triangle; then each pair of corresponding angles are congruent. Two altitudes of a triangle are concurrent.…

Tar two straws represent lines and two index cards (called plane 1 and plane 2) represent points on the plane. Take another index card and call it Plane 3. Using the two straws and the three index cards, model each of the following relationships. Draw a picture of each model on your paper, take…

4o can Coleman Ihg urda ol w riquirs such 03 Ine ona Dy consider? Ictal area us me Bum % the areas Total &' /s Parts %5 The right End The total index of "he square to the right; Use approximation to

The following numbers the central angles regular polygons Determine the number of sides for each polygon Given an 18-sided polygon; find the central angle, vertex angle, and exterior angle. Given a 12-sided polygon, find the central angle, vertex angle, and the exterior angle. Find mZACB.

Use the figure below for questions 2 - 3. point each) 7777% Lz 3 4 5 6 7 8 9 10 2. Determine the scale factor of a dilation that 3.Determine the scale factor of a dilation that maps Circle A onto a circle congruent to maps Circle C onto a circle congruent to Circle B. Circle A

Given that mzA is greater than mzB, what are the restrictions on the value of *? (Hint: don't forget the lower bound) X + 10

Given that m ∠ AXD = 72° and m ∠ CEB = 28°, determine the measure of arc AD and arc CB:

A circle is inscribed in & triangle with sides of length 8,13, and 17. Let the segments of th side of length 8, made by & point of tangency, be r and $, with r > $. Find the value ofr:

What is the area of & circle in which the lengths of two adjacent sides ofan inscribed hexagon are each 2,and the lengths of the remaining four sides of the hexagon are each 12?

Two triangles are similar to each other. In the first triangle, mZR = 768 and mLT = 809. In the second triangle, mZW = 219 and mLY = 768. The first triangle also contains ZS and the second triangle also contains mZX.

2. Scale Factor (2 points) Ifa dilation has a scale factor of 1/3, the dilation will be enlargement reduction Explain your thinking_

Performing Dilations - Point as Center (5 points) Triangle AUX is dilated with a scale factor of 1/2 centered at A. Task 1: Graph and label AUX' on the set of axes provided (2 points). Task 2: Fill in the table with the coordinates of AUX' (3 points). Points: Image: A (J, 01) A' (2, 37)

20 m circle within a square)

Indicate the two quadrants 0 could terminate in if 1 COS 0 = 2 Quadrants Or Note: Enter numbers, not Roman Numerals.

Title_with_topic: Decision-making based on distance to Orc camp

1point Find the value of xin the triangle below: X 46.59 39.4 6.125 12.251 4.443

4214" E Love is closest to Dog A. Dog C is 2.979 feet away from the food and 45ft away from the dog bowl.

One reason for variation in the metabolic rate with an animal's size is that the ratio of an animal's surface area (SA) to their volume (V) (proportional to their weight) varies with an animal's size. In the following exercise, you will explore how SA/V (surface area to volume ratios) change…

Find the area of the rhombus. 15 in 12 in [ ? ] in² 432 720 360 216

Find the area of the trapezoid: 4 cm 5 cm 9 cm 32.5 cm2 35 cm2 70 cm2 65 cm2

1point Find the area of the figure below: 110 cm 50 cm h40 cm 180 cm 15,400 cm2 18,550 cm? 19,800 cm2 594.018 cm2

3 1 point Find the area of the parallelogram: 20 cm cm 13 5 cm 15cm 240 cm2 120 cm2 100 cm2 0 260 cm2

1 point Find the value for angle Xin the polygon below: 100" 124" 111" 90 659 1158 1258 104"

Yes, opposite angles are congruent. No, opposite sides are not congruent. Yes, opposite sides are congruent. No, all four sides are not congruent.

Find the remaining trigonometric functions of Î¸ if Î¸ = 13Â° and cos Î¸ > 0. Csc Î¸ = Sin Î¸ = Cos Î¸ = Tan Î¸ = Cot Î¸ = Sec Î¸ = Csc Î¸ =

Two triangles are said to be similar if they have the same proportions, though not necessarily the same size. More formally, Î”ABC is similar to Î”DEF, often written as Î”ABC ~ Î”DEF, if the corresponding angles of the triangles are equal, i.e. âˆ ABC = âˆ DEF, âˆ BCA = âˆ EFD, and âˆ CAB =…

Given: LBAD is a right angle; ZI = 2 L2; L3 = 24 DABCD Yes or no, must the parallelogram be a square? Choose the numbers of the theorems that support your answer: 1. DBAD is a rectangle. Theorem 2. L1 = L2; L3 = L4 Theorem

Find the remaining sides ofa 45 9 45 90? triangle if the longest side is 12 Both sides are: Preview

Find all six trigonometric functions of Î¸ if the given point is on the terminal side of Î¸. (-4, -1) sin Î¸ Preview cos Î¸ Preview tan Î¸ Preview cot Î¸ = Preview sec Î¸ = Preview csc Î¸ = Preview

Indicate the two quadrants 0 could terminate in if 1 COS 0 = 2 Quadrants or

Refer to the figure. Find AB if BC = 8, BD = 17, and AD = 5.

Find the exact value of the indicated trigonometric function tan € if cos 0 = terminal side of 0 in Quadrant IV. 3 tan 0 = Preview

A circle has a radius of 12 inches. Find the area of the sector whose central angle is 120 degrees. Find the measure of the central angle of a sector in degrees if its area is 5π square ft and the radius is 6 ft. The central angle of a sector is 60 degrees and the area of the circle is 144 π…

triangle has sides that measure 20 cm, 21 cm_ and 29 length 20 cm. (Hint: The triangle is right triangle-) Find the exact volume (in cubic centimeters) of the solid of revolution formed when the triangle revolved about the side of

Triangle ABC is defined in the coordinate plane by the points A = (1,1), B = (3, 4), and C = (4, 2), as shown. Under which transformations will the image of triangle ABC be similar to the preimage? a. T(x,y) → (x,-y) b. T(x,y) → (x + 2, 2y) c. T(x,y) → (0.5x, 0.5y) d. T(x,y) → (x + 4, y -…

Write a composition of transformations that results in the mapping AABC ~ AA"B"C". A

C. Convert the following to the indicated unit: 1. 70% of â‚¬ F 2. 3 60% of F 3. 2 179C = F 4. 4 338P = C

Evaluate the following algebraic expressions if x = 3, y = 4, a = -5, and b = -7. 1. x - y - a - b 6. (ab)^4 2. abxy 7. 4x - Sy 3. axy aby Qn JWV et '69 # 3os ~^ Let's Analyze and Evaluate each of the following: 2v" 1. 7x - 9y when x = -5 and y = 6 .i .. > '17,9' " 2 when x = 8, y = 6, and z =…

Givon AECE 04 months AED, FEC ZFAB ZDCE Grove FE = DE

4. , ' . .' Let's Try (Evaluation) 7 |0a Evaluate the expression inside the larger circle using the values inside the smaller circle. Place your answer inside the smaller circles. . - -, a = 4 . . 1 " , ^ ` : a = 4 a = 3 a2 _ 7 . .. a =3 a = "1 a =0 a =1 '

Question (1 point) Retake question GH and IJ are chords in OF'. Given GH = 38, FK = 7, and JI = 4. How long is FL? Round to the tenth. Please note that the figure is not drawn to scale.

Match the notation with the term that best describes it. AD 1. Radius G 2. Diameter AB 3. Secant HF 4. Chord E 5. Tangent AB 6. Center CA 7. Point of tangency

Find t. 609 300 Write your answer in simplest radical form. units

GH and IJ are chords in OF. Given GH = 22, FN = 9. How long is GN? The figure is not drawn to scale. FK and JI = FL

2 16 ; 2 8

3) You have right circular cone of height 1530 mM and volume 2.2 10' in ? . Calculate the base diameter of the cone_ NOTE: For this problem you will be graded On how well you write up your problem relative t0 what was discussed in lecture: HINT: Volume of cone Google

Find the area of the triangle. 8 14 [? ] square units

Rectangle ABCD is shown below with diagonal AC drawn. If AC = 17 and AD = 8, what is the perimeter of the rectangle? (Hint: Look at AADC. What kind of triangle is it?) A B D 0 68 0 50 46 32

Order the side lengths HI, IJ, and JH from least to greatest. (Note that the figure is not drawn to scale.)

uto fx) (c) lim f(x) lim f(x) f(6)

How To Turn The St Roauto savvasroalize.com Song Lyrics Carlton banner with the letter G on it Part A: Which of the following rectangles divide Bncox into smaller rectangles? Check all that apply. a) 2 * 6 + (2 * 0) - (2 * 8 + 0) = 0 b) 2 * 4 + 0 - @ = 0 c) 2 * 4…

Order the side lengths DE, EG, DF, EF, and GF from least to greatest. (Note that the figure is not drawn to scale.)

Order the slide lengths FG, GI, FH, GH, and IH from least to greatest. (Note that the figure is not drawn to scale.) 588 568 638 602

Complete the table and investigate the limit as x approaches from the left and right. x approaches from the left x approaches from the right 0.99 999 1.001 1.01 f(x)

Find the perimeter: 43, 143, 8, 3, 4, 10, 12; 103. Perimeter. Simplify your answer completely.

Directions: Find the geometric mean of each pair of numbers 7. 16 and 27, 8. 5 and 36, 9. 24 and 32, 10. 8 and 48.

Find the distance between the line 3x + 7y 10 = 0 and any point that passes through it: 10 units None of these 20 units 0 units

F36- 3 7.2 ft - area of the sculpture in square feet that needs to be

For a hyperbola with an equation =1in which c2 = 02 +62 the asymptotes are perpendicular if and only if a = 6 0 =C None of these 6 =c

Text: square major ~dan your answer Part 1: What are the words Jennifer Goract about the number? Jennifer uses squares gaps. There. Cco. Part B: What are the words to explain your answer? Jennifer correct about the units? Drag. contitif. The correct unit is square. View Score summary.

19 Solve for b,x, Y, and z 123" 38"

Find the area of this circle: Use 3 for T. A = Tr2 14 in [?] in?

ALGEBRA: Find x and y so that the quadrilateral is a parallelogram. 6x 12 - 7 7y + 3 I + 6 0 0 b 33v22 3 x#sy 19 0 x 3vf 2 0 d x3 v 2

In the diagram below, D is an arbitrary point in the interior of â–³ABC. Prove that âˆ ADC > âˆ ABC. Then prove that AB + BC + CA > DA + DB + DC.

In the diagram, BE and BD are radii of a circle centered at B. The circles centered at E and D both have ED (10 points) Prove that BF bisects ZABC.

circle: Use 3 for T area of this Find the 18 in [?] in? A = Tr2

Solve for X. Round your answer to the nearest thousandth: X = 2597321.42 + 2Fo0 + 280f + 5280(Cs) + In2502 + IgoGts + donSs. X = 429.25775

3xI? 18 CLBer ALL

AEOi O â‚¬ Unit edi U2i 839 Complete this table for these functions. State "none" if applicable. Each cell is worth 0.5 marks: Characteristics f(x) = 2(5)* f() -3 log(x) x-intercept y-intercept End Behavior Domain Range Increasing or Decreasing? Which data sets below represent an exponential…

if vector E= 20e^-5y(cos5x . ax -sin5x . ay) V/m the magnitude of E at point (π/6, 0.1, 2) = ................v/m 12.2 2.57 32 10.6ax -6.1ay-

Use 3 for T_ Find the area of this circle: A = Tr2 Hint; The radius () Is 1/2 of the diameter. 20 ft [2] ft?

Find the radius of this circle. A = 93 ft^2 A = Ï€r^2 r = [?] ft

Find all six trigonometric functions of 0 if the given point is on the terminal side of 0. (3, ~2) sin 8 Previcw cos 0 Preview tan 0 = Preview cot 0 Previcw sec 0 Preview Preview Csc 0

Show that quadrilateral KLMN is a parallelogram by showing that the diagonals bisect each other. K(-3,0), L(-5,7), M(3,5), & N(5,-2)

Find AB if BC = 5, BD = 13, and AD = 5. AB =

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Question 2 10 pts Given: 4 ABC * 4 XYZ True or False BCA ~4 YZX False True Question 3 10 pts Given: 4 ABC #4 XYZ True or False BAC 4 4 ZYX False True

LT 13,14 sketch an example of each of the 3 following terms: 4) Use the given circle and points to tangent, secant, and chord. b) Name the example you provided in the sketch above using proper circle notation. tangent chord secant LT13

Use a graph to investigate the limit of f(x) at the number c. (If an answer does not exist, enter DNE.) f(x) = {2x + 9 if x < 1, 4x + 7 if x â‰¥ 1} lim f(x)

Marek paints a barrel in the shape of a cylinder. To paint 8 square feet of the barrel, he uses 1 quart of paint. The height of the barrel is 4 feet and the radius of its base is 0.5 feet. If Marek does not paint the top lid of the barrel, how much paint does Marek use to paint the barrel? (A)…

(3) Solve the proportions: 4 34 X+2 Xtl

In the following diagram, PA and PB are tangent to circle O. Find the given values: a) m∠OAP = b) m∠AOB = c) m∠PBA =

After correcting the text, the corrected version is as follows: A Ferris wheel is 36 meters in diameter and boarded from a platform that is 1 meter above the ground. The gondola is at the 0 o'clock position of the Ferris wheel and is level with the loading platform. The wheel completes 1…

A 35. LG 17 = 36. 07 17 = 37. LO + LA = 1805

Your yard is in the shape of a trapezoid. You go to the store to buy fertilizer and the salesman asks for the area of your lawn. What do you tell him? Hint: The formula for the area of a trapezoid is (b1 + b2) / 2 * h

Determine if two vectors are orthogonal, parallel or neither. (You must show this algebraically. Do not use a graph.) (a) a = (-5, 3, 7) and b = (6, -8, 2) (b) a and b - proja b

Find the measure of each angle indicated. 16) mâˆ R = 8x + 13Â°, mâˆ T = 84Â°, mâˆ = 6x + 49Â°, mâˆ r = 8r + 2Â°.

For each figure below, find the restrictions on the value of x. (8 points, 4 points each) 328 (+0) Sent from my iPhone @WF

In the diagram at right; CD is the altitude from C (a) Express CD in terms of angle B and side a. (b) Express BD in terms of angle B and side a. (c) Simplify the expression (a sin BJ? + (a cos BJ? and discuss its relevance to the diagram (d) Why was a sin B used instead of sin B o a?

Given: QUAD is a parallelogram; MQR = 5, MUR = MRA = 0; mRD = 61, MZQRD = (âˆš2) What is the most descriptive name for the figure QUAD? Justify (i.e., explain) your answer.

Find the measurement indicated in each parallelogram: 7) Find FG Find YX 2 -

Given: ABCD is a parallelogram. AN bisects âˆ DAB. CM bisects âˆ BCD. Prove: AMCN is a parallelogram. (10 points)

Triangle Angle Sum Property: You may recall from your prior mathematics study that the sum of the measures of the angles of a triangle is 180Â°. How is this Triangle Angle Sum Property demonstrated by folding a paper model of a triangle as shown below? ABC Using a protractor and ruler,…

Mr. James wants to coat the ceiling, walls, and floor of a rectangular storeroom with flame retardant material that costs $39.95 per gallon. The dimensions of the room are 7 m by 10 m by 4.5 m. One gallon covers 110 mÂ². How much will Mr. James need to spend to protect the storeroom?

The circumference is 22 cm. Area

Geometry Congruent Triangles Practice Important Vocabulary: Theorems that help us prove that two triangles are congruent: SSS, SAS, ASA, AAS. Midpoint: the midpoint is the middle point of a line segment which cuts the line segment into two equal segments. Bisect: a line that cuts through…

AM = TH LAMT = ZHTM of ZF is and the measure (4+12)9 EFGH, the measure of ZE represented in parallelogram. Show your work: represented by (x+18). Determine the measure of ZH, perpendicular - P@. Diagonal QS intersects PORS shown below. T lies on Pe such that RT is in rhombus W. If mZP = H89,…

6. The midpoints of the sides of triangle ABC are joined to form a second triangle with the given side lengths as shown in the diagram below. Determine the length of each side of triangle ABC. AB = BC = AC = 7. Parallelogram MATH is drawn below together with its diagonals. Which of the…

18 Perimeter Area ft ft?

Find AB Which Law would you use? Law of Sines AAS Law of Sines SSA Law of Cosines SSS Law of Sines ASA Law of Cosines SAS

What is the value of 23.59 in radians?

Which Law would you use? Law of Sines ASA Law of Sines SSA Law of Cosines SAS Law of Cosines SSS Law of Sines AAS

Read the givens about the diagram shown and then state all conclusions You can draw from these givens. Explain your conclusions. Given: B is the midpoint of AC and BF ⊥ FD

If QR = 12 and QR is a perpendicular bisector of TS, determine which of the following claims are true. 6x-4 3x+8 90° True False RS = 12 x = 4 x = 3 QT = 16

Congruent angles are angles that are equal in measure. Opposite angles in a parallelogram are congruent. A parallelogram has two pairs of opposite angles. Quadrilaterals have four angles, and the sum of the measures of the angles in a quadrilateral is 360 degrees. Two consecutive angles in a…

You can map AJKL to APQR by a reflection followed by a dilation followed by a 90Â° counterclockwise rotation about the origin. The reflection is (,% The dilation is 64 The rotation is 6Â°

When you construct the perpendicular bisector of the base of an isosceles right triangle, then you create two congruent triangles. Which of the following could be used to prove that the triangles are congruent? The HL Theorem The ASA Postulate The SSS Postulate All of the above could be used to…

(2) y = -2 - 6 36" _ [s KM Perpendicular of parallelogram HIJK; mZI = L8" and mZMUJ In the accompanying diagram side TJ ? Explain your reasoning parallel. The quadrilateral must have opposite sides.

Rigidity of Shapes: Working with a partner, plastic or cardboard strips, and paper fasteners, make each of the models shown below. Can you change the shape of the triangle model? Can you change any of the features of the model? Explain. What features of the quadrilateral model can you change?…

Two squares in the coordinate plane have horizontal and vertical sides. Explain how they are similar using similarity transformations.

Look at the figure below. 6 cm 4 cm H M Select ALL the following pieces of information that would prove that the two triangles are similar: - OPH = 6 and TM = 9 - LI = LB - LM = LH - HX = IO and BM = 20

△ABC maps to △LMN with the transformation (x, y) → (x - 2, y + 1) → (3x, 3y). If AB = 9, what is LM?

What happens when you use the 'Del' operator on (i.e. what will you get - vector or scalar and why?): Scalar field (5 points) Vector field (5 points)

In this figure, PQ II LN: M N

Question 2 (5 points) Which of the following angle relationships are always equal in measure? (select all that apply) Alternate Interior Angles Consecutive Angles Supplementary Angles Vertical Angles Corresponding Angles

Properties of Dilations (3 points) Triangle ABC is dilated with a scale factor of 2 centered at (-1,5). Check each of the following that are true. (Select all that apply:) m < A = m < A' 2m < B = m < B' 2BC = B'C' AC = 1A'C AB = 2A'B

Determine the cross-triangle T0 + Quugtuza. If they are setie bor 9Du kDD. Slale what Litiuonal [nlbrnatlan Tequlred In crcer kno% Mal ar Eriangkaa nrt congreni for the reason Eivtl SSS 120 S4S.

Mark the angles and sides of each pair of triangles to indicate that they are congruent: âˆ AVWX = âˆ ARST Write congruence statement that indicates that the triangles in each pair are congruent:

Proof Given: DF < EF Prove: DF is congruent to EF Proof: 1. DF < EF (Given) 2. DF = EF (By the definition of congruence) 3. Therefore, DF is congruent to EF (By the transitive property of equality)

JAB Show that if ABC is similar to DEF, then AABC is similar to ADEF. [2] ADFI 3 is the Side-Side-Side similarity criterion.

Question 2 2 pts The blueprint of Tony's bedroom is rectangular-shaped with length of 8 in: and a width of 6 Tony'$s actual bedroom has length of 24 ft Every inch in the blueprint is equal to feet in the actual bedroom The width of the bedroom Is

Clockwise rotation about point B and translation 20 units down, reflection across the y-axis and translation 20 units across the X-axis, a translation 15 units down, reflection across the y-axis and translation 25 units down. Geometric transformations that can be performed on a quadrilateral.

A regular decagon (10-sided figure) divides into how many triangles (drawn from a point in the center of the decagon)?

Line l is parallel to line m. If the measure of angle 6 is 75°, what is the measure of angle 2?

Problem 4 (1 point) Consider the slope field shown: (a) For the solution that satisfies Y(0) = 0, sketch the solution curve and estimate the following: Y(1) and Y(-1) (b) For the solution that satisfies y(0) = sketch the solution curve and estimate the following: Y(05) and Y(-1) For the…

(bli;) &i; 2 11 Jlawl If AJKL = AMNO, which statement is always true? 1) LKLJ = ZNMO 2) ZKJL â‰ ZMON 3) JL = MO 4) JK = ON 4 3 1 2

State if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement: AGFE 9Â² 20Â² 17Â² IuuU 6â´â° 13â·â¶ Similar; SSS and SAS similarity; AGFE â‰ˆ IuuU None of the other answers are correct Not similar Similar: SAS similarity;…

I HK Find 10 H 18 20

21 (4y + 3)8 (6x - 4)8 (Sx+ 11)0 (3v)? Your answer Your answer

17 670 mz1= Your answer mz2 = Your answer

Problem 4: For 0 < r < 2r, find the arc length of the curve R(t) = (2cos(2t), 2sin(t)sin(2t)) from t = 0 to t = 1.

For Questions 14 and 15 refer to the figure. 14. Which line segment is the shortest? F PQ G RS H QR J PS 15. Which line segment is the longest? A PQ B QR C RS D PS

i. an isosceles right triangle j scalene obtuse triangle k an isosceles obtuse triangle I an equilateral right triangle m. a rhombus that is also a rectangle n. an isosceles triangle with all sides the same length a kite with exactly one right angle p: an equilateral hexagon that is not a…

Given the diagram on the right, prove that mZw + mLx + mLz = 180Â°.

5. AC is a median. âˆ AMLACD = 90Â°. âˆ LBAC = âˆ LDAC. C BC = CD. D âˆ ZBeLD. 6. AC is an angle bisector. âˆ mLACD = 9Â°. âˆ LBAC = âˆ LDAC. H BC = CD. J âˆ LB = âˆ LD. 7. AC is an altitude. âˆ AmLACD = 90Â°. B âˆ LBAC = âˆ LDAC. C BC = CD. D âˆ LB = âˆ LD.

11. Name the longest side of AABC. F AB H AC GBC cannot tell 12. Name the angle with the greatest measure in ADEF. ALD BLE CLF D cannot tell 13. In AXYZ, which type of line is â‚¬ perpendicular bisector angle bisector altitude median

8. Name the longest side of ADEF 108" F DE G EF H DF cannot tell 62" 9. Which angle in AABC has the greatest measure? 4LA B LB C LC D cannot tell 10. If D is the circumcenter of AABC and AD = 6, find BD F4 G6 I 9 J 2

Text: Part ? Below Incomplete proof. Complete the proof by choosing from the possible statements and reasons: Some reasons may be used more than once. You might not use all of the lines provided. Given: ABCD is a parallelogram Prove: AB = CD and AD = CB Reason: 1.…

16 5 points Solve for x (Round to the nearest tenth) 8 in 7 in Type your answer:_

15 5 points List the sides of AFGH in order from least to greatest if mZF = (151 - 7), mZG = (6r - 15), and MzH = (4 + 2). Use your mouse to drag and drop the sides (Top is least and Bottom is Greatest) Least FG 2 GH FH Greatest

14 5 points Determine if the triangles are similar: 39.2 28 15 21 Yes, SAS Yes; AA Yes; SSS Not similar

Find the values of the variables. Leave your answers in simplest radical form. âˆš0 âˆš30 âˆš20 âˆš60 âˆš561

14 5 points Determine if the triangles are similar: 39.2 28 15 21 Yes, SAS Yes; AA Yes; SSS Not similar

What is the minimum length the ladder must be to reach the roof? Round your answer up to the nearest tenth of a foot. Ladder Round The ladder must be at least feet long to reach the roof of the house.

Based on the given information, are the following statements sometimes, always, or never true? If always true, state the reason why: MZI + MZDCA = 90 âˆ 4 = 45Â° and âˆ DCA = 45Â°

In Evenly Spaced 6 Coins in a Line @< Grt /,812 in mm; amm 17 260.35mm

10 5 points Solve for x. (3x + 17) (8x - 46)9 type your answer Previous Next

5 5 points Given AJKL ~ APMN, what angle is congruent to angle L? Angle L, see your answer. Choose your answer. Previous Next K 2 0 2

Find the scale factor of Figure A to Figure B. 36 8 20 A 25.2 Simplify (Reduce the fraction to lowest terms): type your answer type your answer

In the figure, AB || CD. Prove that âˆ AEC = âˆš(m23 + mz4). Based on the given information, are the following statements sometimes, always, or never true? If sometimes true, give an example of when it is true and when it is false. If always true, state the reason why. mâˆ AEC = 90Â° mâˆ 3 =…

5 points Solve for x 3x + 11 9x - 14 type your answer

Ceoneby Name Suppose that ABCD * XYZW. Complete the following: EA * 3 * x

Given ΔJKL ~ ΔPMN, what side is corresponding for side PN: Side choose your answer JP JL KL JK

Determine whether the side lengths could form a triangle: 7cm, 24cm 31cm Yes No

(a) Select all that describe YV Perpendicular bisector of XZ Angle bisector of ZY Median of 4XYZ Altitude of 4XYZ None of the above

(a) Select all that describe YV: - Perpendicular bisector of XZ - Angle bisector of ZY - Median of AXYZ - Altitude of 4XYZ - None of the above (b) Select all that describe RS: - Perpendicular bisector of PQ - Angle bisector of R - Median of 4PQR - Altitude of 4PQR - None of the above

(a) Select all that describe: Perpendicular bisector of GH Angle bisector of ZF Median of Î”FGH Altitude of Î”FGH None of the above

Mlnenani 2a 4 D uttcaiAnete LB and 28 Nzue-Letild Nikt LC sed zQ Sune soe Intenar Alari LC and LD Corresponding Anut ZA and 4P Atetalc-Exact Anole Genr Side Endbr ZC EB and

0 * Conjecture PR I QUESTIONS: Answer the question that indicates the necessary data. The Correct Lmener steps and will receive credit. Clearly explain your reasoning. An answer with no work shown will only receive correct numbered credit. For all questions in this part, receive only…

Answer all questions in this part. The correct answer will receive credits. Clearly state the questions: reasoning: For all questions in this part, correct numerical answers that indicate the necessary steps and explain your answer with no work shown will receive only credit. ABCDEF is shown…

RT II QUESTIONS: Answer questions in this part. Each question requires specific steps and explanations. For all questions in this part, only a correct numerical answer with no work shown will receive credit. 10. Point A(-41) is translated to point A' and then reflected across the x-axis to…

The vertices of RECTANGLE ABCD are A(4, 1), B(0, 7), C(3, 9), and D(7, 3). Prove the statement that "the diagonals of a rectangle are congruent": Diagonal AC = Diagonal BD The diagonal segments are the same. Therefore, they are congruent.

Which of the following is ONLY property of translations? (1) Perpendicular Lines map to perpendicular lines Angles are preserved Parallel lines map parallel lines (4) Distance is preserved

Use similar triangles In the diagram below, OL is perpendicular to DX. Find the length of OX. If entering your answer as a decimal, round your final answer to the nearest hundredth. OX = units

AQRS with Q( _ [) R(-1,3).S(3,-1) is reflected about the X-axis. Graph and record the coordinates of Uua' IklM with /(14) K(3,2).L(2,-2) M(-3,1) reflected about the Y-axis. Graph and record the coordinates of Ulu.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

What is the line that point A is reflected over to create its image, B? Name the point that is the image of A when it is reflected across y. What is the line that point A is reflected over to create its image, F? What is the line that point A is reflected over to create its image, O? What is…

If the scalar field V = 4x^2 + 48y^2 + 5z^2 is harmonic, the value of the constant 'B' is a. 6.75 b. 0.56 c. 15.75 d. 2.25 e. 4.50

A direction vector for the line 2-4 2 9+3 5 = 2 = lis V=(4,-3,1) 0 b. V=(-2,-5,0) cV=(-2,5,1) d.V=(-2,-5,-1) V=(-2,-5,1)

17. Given: H is the centroid of ΔEDF. Prove: EY + FY > DE Statements Reasons 1. H is the centroid of ΔEDF. 1. Given 2. EY is a median. 2. 3. 3. Definition of median 4. 4. Definition of midpoint 5. EY + DY > DE 5. 6. EY + FY > DE 6.

In the figure at right, arc BD is centered at A, and it has the same length as tangent segment BC. Explain why sector ABD has the same area as triangle ABC.

Find the area and perimeter of the shaded figure: Use Ï€ = 3.14. (12 marks) Sin 61Â° in 3 in

Write a two-column proof of the following: Given: ZW = AX LZWX and LYXW are right angles Prove: AZXW = AYWX Given: LABC = ZDCB, ZCBD = ZBCA Prove: AABC' = ADCB Given: EF = LG, FG = HG, ZE = ZH Prove: EF = HG

9 VU = SU = 15 TV = SW =

10. # | e | m | n

Question 4 (10 points) What is the value of x in the diagram below? 445 St 20| 361

Question 4: Given that Î£ is the portion of the cone (C) that lies between the planes z = 2 and z = 5, sketch the surface Î£ and identify the region of integration. Determine dS. (i) Set up the iterated double integral and evaluate it. Let C be the circle x^2 + y^2 = 16 that forms the…

1. PQRS is a rhombus. (Given) 2. PQRS is a parallelogram. (Rhombus - parallelogram) 3. mâˆ PTQ = 90Â°, mâˆ LSTR = 90Â° (Parallelogram - diagonals 1) 4. âˆ†ZPTQ ~ âˆ†LSTR (Right angles - theorem) 5. PT ~ TS and QT = TR (Parallelogram - diagonals bisect each other) 6. âˆ TSR =…

Example 2 Given: 1) <ABC =<CBD 2) <ABC and <CBD are linear pair Conclusion: Statements Reasons

Gwcn Parallelogram ABCD with AB extended to P so that CP = OP. OPCD is rectangular. AP = PQ TP = SQ Square Placzuols Rectangles

Everyone completes this slide. Master Slide for Group #6. Triangle POR-Triangle STU: UT-20, RO-5, and PQ-3. Task #1: Find ST. Write your answer in the box below and SHOW YOUR WORK ON A SEPARATE SHEET OF PAPER. m<Q-65 and m<S-90. Task #2: Find the m<U. Write your answer in the box below and SHOW…

Everyone completes this slide. Master Slide for Group #3. Triangle GIH ~ Triangle GI'H". GI = 10, GI' = 6, and GH = 12. Task #1: Find the measure of GH'. Write your answer in the box below: SHOW YOUR WORK ON A SEPARATE SHEET OF PAPER. m<G = 43, m<l' = 95. Task #2: Find the m<H. Write your…

101 1 . Construct & circle tangent to both lines: 2. Construct & circle tangent to both parallel Iines:

The Bisector of an Angle Problem: Bisect an angle. Solution: 1. Draw an arc with center A that intersects both sides of the angle. 2. Label the intersections as B and D. 3. Draw an arc with B as the center. Use the same radius to draw an arc with D as the center. Make these arcs intersect. 4.…

Activity A Solve for the missing angles!

Triangle ABC is translated and then reflected to map triangle A"B"C" as shown. Which of the following postulates or theorems proves the triangles congruent? AA Postulate HL Postulate ASA Theorem SSA Theorem

Based on the ligure below; select all statements Ihat apply:

Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90° about the intersection of the lines creating the vertical angles (2) a rotation by 180° about the intersection of the lines creating the vertical angles (3) a translation in the…

Given the right triangle below with altitude drawn; choose all of the statements that are true

LA and LB are supplementary angles. If mZA = (8x + 25)Â° and mLB = (Tc - 5)Â°, then find the measure of ZB.

List the sides in order from shortest to longest. (5x - 4018) (Tx - 8j8) (1Ox)?

Consider the polygon. Show Your Work. Count the number of sides. How many triangles can be created by connecting diagonals from one vertex? Give the answer in the answer box as the number of sides minus the number of triangles. Geometric formula for the interior angle of a convex polygon: Sum…

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why. (4 points each) 659 650 50

Find mZA A 96 G B 114

Score: 0 of 1 pt 9.2.1 Find the surface area of the pyramid 14in 16 in The surface area of the pyramid i5 (Type a whole number ) in2

Hauling the truck pulls 750 pounds. The truck can hold 2 tons of gravel. The payloader loads the truck one at a time. Does the payloader dump the truck before it is full? How many loads does the payloader need to dump the gravel?

In the image below; there are two planes cutting along the diagonals inside of box: Use this figure t0 answer the following questions: Your answer should be accurate to one decimal place: 6 _ 6 5 10 cm

11) Find mZA C 17 10 A B 11

An obtuse scalene triangle is congruent to an acute scalene triangle. Median of triangle ABC is a segment. Then, AC is the hypotenuse. I thought of one triangle as congruent to another triangle; then each pair of corresponding angles are congruent. Two altitudes of a triangle are concurrent.…

Tar two straws represent lines and two index cards (called plane 1 and plane 2) represent points on the plane. Take another index card and call it Plane 3. Using the two straws and the three index cards, model each of the following relationships. Draw a picture of each model on your paper, take…

4o can Coleman Ihg urda ol w riquirs such 03 Ine ona Dy consider? Ictal area us me Bum % the areas Total &' /s Parts %5 The right End The total index of "he square to the right; Use approximation to

The following numbers the central angles regular polygons Determine the number of sides for each polygon Given an 18-sided polygon; find the central angle, vertex angle, and exterior angle. Given a 12-sided polygon, find the central angle, vertex angle, and the exterior angle. Find mZACB.

Use the figure below for questions 2 - 3. point each) 7777% Lz 3 4 5 6 7 8 9 10 2. Determine the scale factor of a dilation that 3.Determine the scale factor of a dilation that maps Circle A onto a circle congruent to maps Circle C onto a circle congruent to Circle B. Circle A

Given that mzA is greater than mzB, what are the restrictions on the value of *? (Hint: don't forget the lower bound) X + 10

Given that m ∠ AXD = 72° and m ∠ CEB = 28°, determine the measure of arc AD and arc CB:

A circle is inscribed in & triangle with sides of length 8,13, and 17. Let the segments of th side of length 8, made by & point of tangency, be r and $, with r > $. Find the value ofr:

What is the area of & circle in which the lengths of two adjacent sides ofan inscribed hexagon are each 2,and the lengths of the remaining four sides of the hexagon are each 12?

Two triangles are similar to each other. In the first triangle, mZR = 768 and mLT = 809. In the second triangle, mZW = 219 and mLY = 768. The first triangle also contains ZS and the second triangle also contains mZX.

2. Scale Factor (2 points) Ifa dilation has a scale factor of 1/3, the dilation will be enlargement reduction Explain your thinking_

Performing Dilations - Point as Center (5 points) Triangle AUX is dilated with a scale factor of 1/2 centered at A. Task 1: Graph and label AUX' on the set of axes provided (2 points). Task 2: Fill in the table with the coordinates of AUX' (3 points). Points: Image: A (J, 01) A' (2, 37)

20 m circle within a square)

Indicate the two quadrants 0 could terminate in if 1 COS 0 = 2 Quadrants Or Note: Enter numbers, not Roman Numerals.

Title_with_topic: Decision-making based on distance to Orc camp

1point Find the value of xin the triangle below: X 46.59 39.4 6.125 12.251 4.443

4214" E Love is closest to Dog A. Dog C is 2.979 feet away from the food and 45ft away from the dog bowl.

One reason for variation in the metabolic rate with an animal's size is that the ratio of an animal's surface area (SA) to their volume (V) (proportional to their weight) varies with an animal's size. In the following exercise, you will explore how SA/V (surface area to volume ratios) change…

Find the area of the rhombus. 15 in 12 in [ ? ] in² 432 720 360 216

Find the area of the trapezoid: 4 cm 5 cm 9 cm 32.5 cm2 35 cm2 70 cm2 65 cm2

1point Find the area of the figure below: 110 cm 50 cm h40 cm 180 cm 15,400 cm2 18,550 cm? 19,800 cm2 594.018 cm2

3 1 point Find the area of the parallelogram: 20 cm cm 13 5 cm 15cm 240 cm2 120 cm2 100 cm2 0 260 cm2

1 point Find the value for angle Xin the polygon below: 100" 124" 111" 90 659 1158 1258 104"

Yes, opposite angles are congruent. No, opposite sides are not congruent. Yes, opposite sides are congruent. No, all four sides are not congruent.

Find the remaining trigonometric functions of Î¸ if Î¸ = 13Â° and cos Î¸ > 0. Csc Î¸ = Sin Î¸ = Cos Î¸ = Tan Î¸ = Cot Î¸ = Sec Î¸ = Csc Î¸ =

Two triangles are said to be similar if they have the same proportions, though not necessarily the same size. More formally, Î”ABC is similar to Î”DEF, often written as Î”ABC ~ Î”DEF, if the corresponding angles of the triangles are equal, i.e. âˆ ABC = âˆ DEF, âˆ BCA = âˆ EFD, and âˆ CAB =…

Given: LBAD is a right angle; ZI = 2 L2; L3 = 24 DABCD Yes or no, must the parallelogram be a square? Choose the numbers of the theorems that support your answer: 1. DBAD is a rectangle. Theorem 2. L1 = L2; L3 = L4 Theorem

Find the remaining sides ofa 45 9 45 90? triangle if the longest side is 12 Both sides are: Preview

Find all six trigonometric functions of Î¸ if the given point is on the terminal side of Î¸. (-4, -1) sin Î¸ Preview cos Î¸ Preview tan Î¸ Preview cot Î¸ = Preview sec Î¸ = Preview csc Î¸ = Preview

Indicate the two quadrants 0 could terminate in if 1 COS 0 = 2 Quadrants or

Refer to the figure. Find AB if BC = 8, BD = 17, and AD = 5.

Find the exact value of the indicated trigonometric function tan € if cos 0 = terminal side of 0 in Quadrant IV. 3 tan 0 = Preview

A circle has a radius of 12 inches. Find the area of the sector whose central angle is 120 degrees. Find the measure of the central angle of a sector in degrees if its area is 5π square ft and the radius is 6 ft. The central angle of a sector is 60 degrees and the area of the circle is 144 π…

triangle has sides that measure 20 cm, 21 cm_ and 29 length 20 cm. (Hint: The triangle is right triangle-) Find the exact volume (in cubic centimeters) of the solid of revolution formed when the triangle revolved about the side of

Triangle ABC is defined in the coordinate plane by the points A = (1,1), B = (3, 4), and C = (4, 2), as shown. Under which transformations will the image of triangle ABC be similar to the preimage? a. T(x,y) → (x,-y) b. T(x,y) → (x + 2, 2y) c. T(x,y) → (0.5x, 0.5y) d. T(x,y) → (x + 4, y -…

Write a composition of transformations that results in the mapping AABC ~ AA"B"C". A

C. Convert the following to the indicated unit: 1. 70% of â‚¬ F 2. 3 60% of F 3. 2 179C = F 4. 4 338P = C

Evaluate the following algebraic expressions if x = 3, y = 4, a = -5, and b = -7. 1. x - y - a - b 6. (ab)^4 2. abxy 7. 4x - Sy 3. axy aby Qn JWV et '69 # 3os ~^ Let's Analyze and Evaluate each of the following: 2v" 1. 7x - 9y when x = -5 and y = 6 .i .. > '17,9' " 2 when x = 8, y = 6, and z =…

Givon AECE 04 months AED, FEC ZFAB ZDCE Grove FE = DE

Question (1 point) Retake question GH and IJ are chords in OF'. Given GH = 38, FK = 7, and JI = 4. How long is FL? Round to the tenth. Please note that the figure is not drawn to scale.

Match the notation with the term that best describes it. AD 1. Radius G 2. Diameter AB 3. Secant HF 4. Chord E 5. Tangent AB 6. Center CA 7. Point of tangency

Find t. 609 300 Write your answer in simplest radical form. units

GH and IJ are chords in OF. Given GH = 22, FN = 9. How long is GN? The figure is not drawn to scale. FK and JI = FL

2 16 ; 2 8

3) You have right circular cone of height 1530 mM and volume 2.2 10' in ? . Calculate the base diameter of the cone_ NOTE: For this problem you will be graded On how well you write up your problem relative t0 what was discussed in lecture: HINT: Volume of cone Google

Find the area of the triangle. 8 14 [? ] square units

Rectangle ABCD is shown below with diagonal AC drawn. If AC = 17 and AD = 8, what is the perimeter of the rectangle? (Hint: Look at AADC. What kind of triangle is it?) A B D 0 68 0 50 46 32

Order the side lengths HI, IJ, and JH from least to greatest. (Note that the figure is not drawn to scale.)

uto fx) (c) lim f(x) lim f(x) f(6)

How To Turn The St Roauto savvasroalize.com Song Lyrics Carlton banner with the letter G on it Part A: Which of the following rectangles divide Bncox into smaller rectangles? Check all that apply. a) 2 * 6 + (2 * 0) - (2 * 8 + 0) = 0 b) 2 * 4 + 0 - @ = 0 c) 2 * 4…

Order the side lengths DE, EG, DF, EF, and GF from least to greatest. (Note that the figure is not drawn to scale.)

Order the slide lengths FG, GI, FH, GH, and IH from least to greatest. (Note that the figure is not drawn to scale.) 588 568 638 602

Complete the table and investigate the limit as x approaches from the left and right. x approaches from the left x approaches from the right 0.99 999 1.001 1.01 f(x)

Find the perimeter: 43, 143, 8, 3, 4, 10, 12; 103. Perimeter. Simplify your answer completely.

Directions: Find the geometric mean of each pair of numbers 7. 16 and 27, 8. 5 and 36, 9. 24 and 32, 10. 8 and 48.

Find the distance between the line 3x + 7y 10 = 0 and any point that passes through it: 10 units None of these 20 units 0 units

F36- 3 7.2 ft - area of the sculpture in square feet that needs to be

For a hyperbola with an equation =1in which c2 = 02 +62 the asymptotes are perpendicular if and only if a = 6 0 =C None of these 6 =c

Text: square major ~dan your answer Part 1: What are the words Jennifer Goract about the number? Jennifer uses squares gaps. There. Cco. Part B: What are the words to explain your answer? Jennifer correct about the units? Drag. contitif. The correct unit is square. View Score summary.

19 Solve for b,x, Y, and z 123" 38"

Find the area of this circle: Use 3 for T. A = Tr2 14 in [?] in?

ALGEBRA: Find x and y so that the quadrilateral is a parallelogram. 6x 12 - 7 7y + 3 I + 6 0 0 b 33v22 3 x#sy 19 0 x 3vf 2 0 d x3 v 2

In the diagram below, D is an arbitrary point in the interior of â–³ABC. Prove that âˆ ADC > âˆ ABC. Then prove that AB + BC + CA > DA + DB + DC.

In the diagram, BE and BD are radii of a circle centered at B. The circles centered at E and D both have ED (10 points) Prove that BF bisects ZABC.

circle: Use 3 for T area of this Find the 18 in [?] in? A = Tr2

Solve for X. Round your answer to the nearest thousandth: X = 2597321.42 + 2Fo0 + 280f + 5280(Cs) + In2502 + IgoGts + donSs. X = 429.25775

3xI? 18 CLBer ALL

AEOi O â‚¬ Unit edi U2i 839 Complete this table for these functions. State "none" if applicable. Each cell is worth 0.5 marks: Characteristics f(x) = 2(5)* f() -3 log(x) x-intercept y-intercept End Behavior Domain Range Increasing or Decreasing? Which data sets below represent an exponential…

if vector E= 20e^-5y(cos5x . ax -sin5x . ay) V/m the magnitude of E at point (π/6, 0.1, 2) = ................v/m 12.2 2.57 32 10.6ax -6.1ay-

Use 3 for T_ Find the area of this circle: A = Tr2 Hint; The radius () Is 1/2 of the diameter. 20 ft [2] ft?

Find the radius of this circle. A = 93 ft^2 A = Ï€r^2 r = [?] ft

Find all six trigonometric functions of 0 if the given point is on the terminal side of 0. (3, ~2) sin 8 Previcw cos 0 Preview tan 0 = Preview cot 0 Previcw sec 0 Preview Preview Csc 0

Show that quadrilateral KLMN is a parallelogram by showing that the diagonals bisect each other. K(-3,0), L(-5,7), M(3,5), & N(5,-2)

Find AB if BC = 5, BD = 13, and AD = 5. AB =

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Question 2 10 pts Given: 4 ABC * 4 XYZ True or False BCA ~4 YZX False True Question 3 10 pts Given: 4 ABC #4 XYZ True or False BAC 4 4 ZYX False True

LT 13,14 sketch an example of each of the 3 following terms: 4) Use the given circle and points to tangent, secant, and chord. b) Name the example you provided in the sketch above using proper circle notation. tangent chord secant LT13

Use a graph to investigate the limit of f(x) at the number c. (If an answer does not exist, enter DNE.) f(x) = {2x + 9 if x < 1, 4x + 7 if x â‰¥ 1} lim f(x)

Marek paints a barrel in the shape of a cylinder. To paint 8 square feet of the barrel, he uses 1 quart of paint. The height of the barrel is 4 feet and the radius of its base is 0.5 feet. If Marek does not paint the top lid of the barrel, how much paint does Marek use to paint the barrel? (A)…

(3) Solve the proportions: 4 34 X+2 Xtl

In the following diagram, PA and PB are tangent to circle O. Find the given values: a) m∠OAP = b) m∠AOB = c) m∠PBA =

After correcting the text, the corrected version is as follows: A Ferris wheel is 36 meters in diameter and boarded from a platform that is 1 meter above the ground. The gondola is at the 0 o'clock position of the Ferris wheel and is level with the loading platform. The wheel completes 1…

A 35. LG 17 = 36. 07 17 = 37. LO + LA = 1805

Your yard is in the shape of a trapezoid. You go to the store to buy fertilizer and the salesman asks for the area of your lawn. What do you tell him? Hint: The formula for the area of a trapezoid is (b1 + b2) / 2 * h

Determine if two vectors are orthogonal, parallel or neither. (You must show this algebraically. Do not use a graph.) (a) a = (-5, 3, 7) and b = (6, -8, 2) (b) a and b - proja b

Find the measure of each angle indicated. 16) mâˆ R = 8x + 13Â°, mâˆ T = 84Â°, mâˆ = 6x + 49Â°, mâˆ r = 8r + 2Â°.

For each figure below, find the restrictions on the value of x. (8 points, 4 points each) 328 (+0) Sent from my iPhone @WF

In the diagram at right; CD is the altitude from C (a) Express CD in terms of angle B and side a. (b) Express BD in terms of angle B and side a. (c) Simplify the expression (a sin BJ? + (a cos BJ? and discuss its relevance to the diagram (d) Why was a sin B used instead of sin B o a?

Given: QUAD is a parallelogram; MQR = 5, MUR = MRA = 0; mRD = 61, MZQRD = (âˆš2) What is the most descriptive name for the figure QUAD? Justify (i.e., explain) your answer.

Find the measurement indicated in each parallelogram: 7) Find FG Find YX 2 -

Given: ABCD is a parallelogram. AN bisects âˆ DAB. CM bisects âˆ BCD. Prove: AMCN is a parallelogram. (10 points)

Mr. James wants to coat the ceiling, walls, and floor of a rectangular storeroom with flame retardant material that costs $39.95 per gallon. The dimensions of the room are 7 m by 10 m by 4.5 m. One gallon covers 110 mÂ². How much will Mr. James need to spend to protect the storeroom?

The circumference is 22 cm. Area

Geometry Congruent Triangles Practice Important Vocabulary: Theorems that help us prove that two triangles are congruent: SSS, SAS, ASA, AAS. Midpoint: the midpoint is the middle point of a line segment which cuts the line segment into two equal segments. Bisect: a line that cuts through…

AM = TH LAMT = ZHTM of ZF is and the measure (4+12)9 EFGH, the measure of ZE represented in parallelogram. Show your work: represented by (x+18). Determine the measure of ZH, perpendicular - P@. Diagonal QS intersects PORS shown below. T lies on Pe such that RT is in rhombus W. If mZP = H89,…

6. The midpoints of the sides of triangle ABC are joined to form a second triangle with the given side lengths as shown in the diagram below. Determine the length of each side of triangle ABC. AB = BC = AC = 7. Parallelogram MATH is drawn below together with its diagonals. Which of the…

18 Perimeter Area ft ft?

Find AB Which Law would you use? Law of Sines AAS Law of Sines SSA Law of Cosines SSS Law of Sines ASA Law of Cosines SAS

What is the value of 23.59 in radians?

Which Law would you use? Law of Sines ASA Law of Sines SSA Law of Cosines SAS Law of Cosines SSS Law of Sines AAS

Read the givens about the diagram shown and then state all conclusions You can draw from these givens. Explain your conclusions. Given: B is the midpoint of AC and BF ⊥ FD

If QR = 12 and QR is a perpendicular bisector of TS, determine which of the following claims are true. 6x-4 3x+8 90° True False RS = 12 x = 4 x = 3 QT = 16

Congruent angles are angles that are equal in measure. Opposite angles in a parallelogram are congruent. A parallelogram has two pairs of opposite angles. Quadrilaterals have four angles, and the sum of the measures of the angles in a quadrilateral is 360 degrees. Two consecutive angles in a…

You can map AJKL to APQR by a reflection followed by a dilation followed by a 90Â° counterclockwise rotation about the origin. The reflection is (,% The dilation is 64 The rotation is 6Â°

When you construct the perpendicular bisector of the base of an isosceles right triangle, then you create two congruent triangles. Which of the following could be used to prove that the triangles are congruent? The HL Theorem The ASA Postulate The SSS Postulate All of the above could be used to…

(2) y = -2 - 6 36" _ [s KM Perpendicular of parallelogram HIJK; mZI = L8" and mZMUJ In the accompanying diagram side TJ ? Explain your reasoning parallel. The quadrilateral must have opposite sides.

Rigidity of Shapes: Working with a partner, plastic or cardboard strips, and paper fasteners, make each of the models shown below. Can you change the shape of the triangle model? Can you change any of the features of the model? Explain. What features of the quadrilateral model can you change?…

Two squares in the coordinate plane have horizontal and vertical sides. Explain how they are similar using similarity transformations.

Look at the figure below. 6 cm 4 cm H M Select ALL the following pieces of information that would prove that the two triangles are similar: - OPH = 6 and TM = 9 - LI = LB - LM = LH - HX = IO and BM = 20

△ABC maps to △LMN with the transformation (x, y) → (x - 2, y + 1) → (3x, 3y). If AB = 9, what is LM?

What happens when you use the 'Del' operator on (i.e. what will you get - vector or scalar and why?): Scalar field (5 points) Vector field (5 points)

In this figure, PQ II LN: M N

Question 2 (5 points) Which of the following angle relationships are always equal in measure? (select all that apply) Alternate Interior Angles Consecutive Angles Supplementary Angles Vertical Angles Corresponding Angles

Properties of Dilations (3 points) Triangle ABC is dilated with a scale factor of 2 centered at (-1,5). Check each of the following that are true. (Select all that apply:) m < A = m < A' 2m < B = m < B' 2BC = B'C' AC = 1A'C AB = 2A'B

Determine the cross-triangle T0 + Quugtuza. If they are setie bor 9Du kDD. Slale what Litiuonal [nlbrnatlan Tequlred In crcer kno% Mal ar Eriangkaa nrt congreni for the reason Eivtl SSS 120 S4S.

Mark the angles and sides of each pair of triangles to indicate that they are congruent: âˆ AVWX = âˆ ARST Write congruence statement that indicates that the triangles in each pair are congruent:

Proof Given: DF < EF Prove: DF is congruent to EF Proof: 1. DF < EF (Given) 2. DF = EF (By the definition of congruence) 3. Therefore, DF is congruent to EF (By the transitive property of equality)

JAB Show that if ABC is similar to DEF, then AABC is similar to ADEF. [2] ADFI 3 is the Side-Side-Side similarity criterion.

Question 2 2 pts The blueprint of Tony's bedroom is rectangular-shaped with length of 8 in: and a width of 6 Tony'$s actual bedroom has length of 24 ft Every inch in the blueprint is equal to feet in the actual bedroom The width of the bedroom Is

Clockwise rotation about point B and translation 20 units down, reflection across the y-axis and translation 20 units across the X-axis, a translation 15 units down, reflection across the y-axis and translation 25 units down. Geometric transformations that can be performed on a quadrilateral.

A regular decagon (10-sided figure) divides into how many triangles (drawn from a point in the center of the decagon)?

Line l is parallel to line m. If the measure of angle 6 is 75°, what is the measure of angle 2?

Problem 4 (1 point) Consider the slope field shown: (a) For the solution that satisfies Y(0) = 0, sketch the solution curve and estimate the following: Y(1) and Y(-1) (b) For the solution that satisfies y(0) = sketch the solution curve and estimate the following: Y(05) and Y(-1) For the…

(bli;) &i; 2 11 Jlawl If AJKL = AMNO, which statement is always true? 1) LKLJ = ZNMO 2) ZKJL â‰ ZMON 3) JL = MO 4) JK = ON 4 3 1 2

State if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement: AGFE 9Â² 20Â² 17Â² IuuU 6â´â° 13â·â¶ Similar; SSS and SAS similarity; AGFE â‰ˆ IuuU None of the other answers are correct Not similar Similar: SAS similarity;…

I HK Find 10 H 18 20

21 (4y + 3)8 (6x - 4)8 (Sx+ 11)0 (3v)? Your answer Your answer

17 670 mz1= Your answer mz2 = Your answer

Problem 4: For 0 < r < 2r, find the arc length of the curve R(t) = (2cos(2t), 2sin(t)sin(2t)) from t = 0 to t = 1.

For Questions 14 and 15 refer to the figure. 14. Which line segment is the shortest? F PQ G RS H QR J PS 15. Which line segment is the longest? A PQ B QR C RS D PS

i. an isosceles right triangle j scalene obtuse triangle k an isosceles obtuse triangle I an equilateral right triangle m. a rhombus that is also a rectangle n. an isosceles triangle with all sides the same length a kite with exactly one right angle p: an equilateral hexagon that is not a…

Given the diagram on the right, prove that mZw + mLx + mLz = 180Â°.

5. AC is a median. âˆ AMLACD = 90Â°. âˆ LBAC = âˆ LDAC. C BC = CD. D âˆ ZBeLD. 6. AC is an angle bisector. âˆ mLACD = 9Â°. âˆ LBAC = âˆ LDAC. H BC = CD. J âˆ LB = âˆ LD. 7. AC is an altitude. âˆ AmLACD = 90Â°. B âˆ LBAC = âˆ LDAC. C BC = CD. D âˆ LB = âˆ LD.

11. Name the longest side of AABC. F AB H AC GBC cannot tell 12. Name the angle with the greatest measure in ADEF. ALD BLE CLF D cannot tell 13. In AXYZ, which type of line is â‚¬ perpendicular bisector angle bisector altitude median

8. Name the longest side of ADEF 108" F DE G EF H DF cannot tell 62" 9. Which angle in AABC has the greatest measure? 4LA B LB C LC D cannot tell 10. If D is the circumcenter of AABC and AD = 6, find BD F4 G6 I 9 J 2

Text: Part ? Below Incomplete proof. Complete the proof by choosing from the possible statements and reasons: Some reasons may be used more than once. You might not use all of the lines provided. Given: ABCD is a parallelogram Prove: AB = CD and AD = CB Reason: 1.…

16 5 points Solve for x (Round to the nearest tenth) 8 in 7 in Type your answer:_

15 5 points List the sides of AFGH in order from least to greatest if mZF = (151 - 7), mZG = (6r - 15), and MzH = (4 + 2). Use your mouse to drag and drop the sides (Top is least and Bottom is Greatest) Least FG 2 GH FH Greatest

14 5 points Determine if the triangles are similar: 39.2 28 15 21 Yes, SAS Yes; AA Yes; SSS Not similar

Find the values of the variables. Leave your answers in simplest radical form. âˆš0 âˆš30 âˆš20 âˆš60 âˆš561

14 5 points Determine if the triangles are similar: 39.2 28 15 21 Yes, SAS Yes; AA Yes; SSS Not similar

What is the minimum length the ladder must be to reach the roof? Round your answer up to the nearest tenth of a foot. Ladder Round The ladder must be at least feet long to reach the roof of the house.

Based on the given information, are the following statements sometimes, always, or never true? If always true, state the reason why: MZI + MZDCA = 90 âˆ 4 = 45Â° and âˆ DCA = 45Â°

In Evenly Spaced 6 Coins in a Line @< Grt /,812 in mm; amm 17 260.35mm

10 5 points Solve for x. (3x + 17) (8x - 46)9 type your answer Previous Next

5 5 points Given AJKL ~ APMN, what angle is congruent to angle L? Angle L, see your answer. Choose your answer. Previous Next K 2 0 2

Find the scale factor of Figure A to Figure B. 36 8 20 A 25.2 Simplify (Reduce the fraction to lowest terms): type your answer type your answer

In the figure, AB || CD. Prove that âˆ AEC = âˆš(m23 + mz4). Based on the given information, are the following statements sometimes, always, or never true? If sometimes true, give an example of when it is true and when it is false. If always true, state the reason why. mâˆ AEC = 90Â° mâˆ 3 =…

5 points Solve for x 3x + 11 9x - 14 type your answer

Ceoneby Name Suppose that ABCD * XYZW. Complete the following: EA * 3 * x

Given ΔJKL ~ ΔPMN, what side is corresponding for side PN: Side choose your answer JP JL KL JK

Determine whether the side lengths could form a triangle: 7cm, 24cm 31cm Yes No

(a) Select all that describe YV Perpendicular bisector of XZ Angle bisector of ZY Median of 4XYZ Altitude of 4XYZ None of the above

(a) Select all that describe YV: - Perpendicular bisector of XZ - Angle bisector of ZY - Median of AXYZ - Altitude of 4XYZ - None of the above (b) Select all that describe RS: - Perpendicular bisector of PQ - Angle bisector of R - Median of 4PQR - Altitude of 4PQR - None of the above

(a) Select all that describe: Perpendicular bisector of GH Angle bisector of ZF Median of Î”FGH Altitude of Î”FGH None of the above

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