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August 2022
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Geometry Q&A Archive of August 14, 2022

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August 14 of 2022

Jay knows that in triangle ADOG = triangle ACAT; DG = CT, LDa = LC, and Z = G = LT. Which postulate or theorem can Jay use to illustrate that the triangles are congruent? ASA, AAS, SAS, or SSS? In figure 2, which of the following postulates or theorems illustrates triangle congruence? SSS, ASA,…

In trapezoid ABCD, if AC = BD, what can you say about trapezoid ABCD? Why is that? In kite RSTV, RS = RV and TS = TV. What can you conclude about ARTV and ARTS?

Measure of ETN N M 1350

How do you describe an isosceles trapezoid? Which theorem states that the area of a kite is half the product of the diagonals?

A quadrilateral ABCD is a kite with diagonals AC and DB intersecting at O. If the measures of OC = 15, AO = 6, and DO = 8, what is the area of KITE ABCD?

Mang Anton Tarmer wanted to own a place and fence around a rectangular piece of land. He supposed that the land has an area of 120 mÂ² and the length is 2m longer than the width. What is the perimeter of the land that he will fence?

Which equation best matches the graph shown below? Oy = ~A(c - 1)? _ 3 v = ~A(c+1)2 _ 3 Oy = A(r - 1)2 _ 3 Oy =4(+1)2 _ :

An isosceles triangle has been constructed so that its height is one half of its base. Without changing the base length; bow should the height of the triangle change to triple the area? A=2m

If w = 2 and |y| = 5, determine the dot product between 2y and w + 3y if the angle between w and y is 60Â°.

The diagram below shows the first four patterns of a sequence of patterns: Given that the diameter of each circle is 14 cm, make a general conclusion for the area of the unshaded region.

Which Iine is parallel to the line 2*+9 Oy= -3 2* - 9 Oy= 3*+9 O,5} X -9 Oy-2 +9

Find the image of the point (6, 12) after it is transformed by the dilation D(z,y) = (-Zz, -Zy) (~9, -18) (4, 8) (-4, -8) (9, 18)

Consider the following quadrilateral and determine the value of 2. Also, classify the quadrilateral by choosing the correct answer. This quadrilateral is a rectangle.

Find the x- and y-intercepts of the graph of the circle: (If an answer does not exist, enter DNE:) x^2 + Bx + y^2 + 2y + 13 = 0 STEP 1: Consider the equation for the circle, x^2 + 8x + y^2 + 2y + 13 = 0. Let y = 0. Give the resulting equation below: STEP 2: Solve your equation from Step 1 for…

For what values of x and y are the triangles t0 the right congruent by HL? andy =

Help answer the questions, Sean. Please locate the locations on the coordinate grid as given below: - Sean's house is at (-4, 5). - His school is at (-4, 3). - The community center is at (6, 3). - The grocery store is at (-4, -9). Now, let's work this out. It is recommended that you work on…

Congruent Angles Lesson Proportions Polygons AB Polygon Oe

The given figures are similar. Solve for x. 49 35 30 6r - 6 10 8.5 0 7

Which polygon will form a regular tessellation? dodecagon hexagon octagon 15-gon

Given: âˆ 2 and âˆ 4 are vertical angles. Prove: âˆ 2 = âˆ 4 Statements Reasons 1. âˆ 2 and âˆ 4 are vertical angles. Given 2. âˆ 2 and âˆ 3 are linear pairs. Definition of linear pair 3. âˆ 3 and âˆ 4 are linear pairs. Definition of linear pair 4. mâˆ 2 + mâˆ 3 = 180Â°. Linear pair theorem 5.…

1 Given the points A(-2, 5) and B(6, -3) determine the a) Midpoint of line segment AB (3 marks) b) Length of line segment AB (3 marks)

Which point is located at 8.95? Point A Point B Point C Point D

Which region labeled in the graph below would represent the solution (final scheduled v < 12) of the system of linear inequalities? Region A Region B Region C Region D

point Pis mapped onto point (-5 2) under the translation (g) A coordinates of P are The

Find h to the nearest tenth. 620 The length of h is approximately (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest tenth as needed).

Solve the problem. How: Area of Square (side) x (side) Find the formula for the area of the shaded region and express it in factored form. Select one: A. (y+7)(y-7) B. (y+7)^2 C. (y-7)^2 D. y^2 + 49

What is the angle measure of each interior angle of a regular decagon? 36" 108" 1449 1,0802

Perpendicular Equation of the Parallel Line and the Perpendicular Line Complete the statements about finding "the equation of the line that is parallel to a given line and passes through point (2, -3). The slope of the graphed line. The slope of the parallel line. An equation that can be…

Which inequality below satisfies the solution set graphed on the following number line? 0 2 4 6 70 12 14 16 A. 2x + 4 < 60 B. 22 + 60 > 16x C. 2x + 36 - 120 D. x^2 + 16x + 60 > 0

Hnd the slope cf the Ilne graphed belowi

Find the perimeter of the rectangle 0 10 10âˆš3 10âˆš

Find the measure of Zb 579 678 @457i EB. 568 KC. 47 D16}

Find the value of x 918 (Sx + 14)2

Andy is installing a new sink in his new bathroom. He has marked 3 points on the countertop where 3 circles must pass to install the sink exactly where he needs it. Which point of concurrence of the triangle connecting the three points must he locate to construct the circle for the…

Consider the line y = 6. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of perpendicular line: 0 Slope of parallel line:

Line 1: v = Tm4 3 Line 2: v = X-4 3 This system of equations is: O inconsistent consistent dependent consistent independent This means the system has: unique solution Solution: infinitely many solutions no solution

Find the following information for the points below. E(1,2) F (2,5) H (4,3) G (5,6) JEFGH on the graph paper. Plot points and connect to form a quadrilateral. Determine whether the quadrilateral is a trapezoid, kite, parallelogram, rhombus, rectangle, or square. Find the coordinates of the…

For the rhombus below, find the measures 0f L1, L2, L3 and L4: m21 mL2 I 0 0 0 mL3 m24

(9-10) Find the MISSING COORDINATES: 9_ H (9,d) E (0,0) Y (9,2) L (4c,0)

According to the figure below, deduce: mZA, mZB, mZC, mD, mZE, MZF.

Observe in similar figures E2K UVWXY CDEFG. What is mZE? 1200 1090 w C 850 1000 mZE Submit

54 ' Zy = 2 Ji - J = 18 The slopes are the same, and the y-intercepts are the same. The slopes are the same, but the y-intercepts are different. The slopes are different and the y-intercepts are the same. The slopes are different and the y-intercepts are different.

A rectangular yard measuring 35 ft by 53 ft is bordered (and surrounded) by a fence all the way along. Find the area of this walk inside, a walk that is 3 ft wide. Be sure to include the correct unit in your answer.

Find the area of the figure: (Sides meet at right angles) 5in

You move up 0 units and down units; you end at (0, J). Where did you land?

Answer in the box: Use numerals instead of words, if necessary. Use the fraction bar. Type (âˆš8/âˆš5) for the traction bar. Find the measure of âˆ ABC. In âˆ†YAB,

State the equation that vertical line passes through the point (8, -7). Ox = 8, Oy = -7 The equation of the vertical line does not exist since its slope is undefined.

6l @ AABC . I KA-24 40 and Ice J1 then what is the value of *

The figure below shows a rectangular lawn. 140 19 & (a) Use the calculator to find the area and perimeter of the lawn. Make sure to include the correct units: Area: 406 Perimeter: 56

the Pythagorean Theorem to find the length of the leg: Round to the In the following exercises, use nearest tenth if necessary: 20Z. 10

Graph the set {x 73 <x< ?) on the number line_ Then, write the set using interval notation_

10. In the given ligure, if x = 3y; lind *' and y'

Consider the vectors U (red) and V (green): Clear all drawings: Draw the vector twice: Once in standard position (initial point at the origin), and once with the initial point at the terminal point of U.

4. Find the coordinates of the ordered pair where the maximum value occurs for the equation P = Tz + y + 20, given these constraints: ~4x + 4y 2 -16 I 2-16 y <4 0 (-4,0) (-16,-20) 0 (4,-8) 0 (8,4)

First state the slope and Y int for each line, then graph the linear system below and state the point of intersection. All work must be shown to get full marks: [4K] 4x+ 4y = 32 8x - Zy = 2

Given that PQ = QR and âˆ AOPQ = 40Â°, find âˆ 4QOR.

The solution to which inequality is graphed below? ~3t + 3 > 12 4t - 4 > 16 7t +2 2 37 2t - 5 > 15

The Reflection rule in the Given Figure.

Which of the following statements about ZD and GE is true? ICD and CE are the same length. BilCD is longer than ZEI. Icels longer than Cd. CE is 5 units long.

23. What is the m BDA ? 3608 b 252" C_ 72" d. 144'

1.3.4 Study the diagram below and answer the questions that follow: 10 72' 238 Determine with reasons the value of: Angle DBC Angle DEC Angle AEB [27] @

Rectangle ABCD translates units down and 2 units to the right to form an alphabetical order rectangle A'BCD'. The vertices of the rectangle going clockwise around the figure: If AB = 3 units and AD = 5 units, what is the length of BC? 3 units 5 units 11 units units

The figure below is dilated with the center of dilation at the origin and a scale factor of 4 What are the coordinates of the image of point A after this transformation? 42-1-10-4 -8 -7 35-4 3 - 2 3 4 6 7 8 10 [1 12

Which ordered pair describes the location of the point shown on the coordinate system below? 0 A (2,-1) 0 B. (1,22) C. (2,1) D. (-1,2)

Identify the hypotenuse; opposite & adjacent from ANGLE A in the following triangle: Hypotenuse Opposite Adjacent

10 What type of lines are shown? Explain how you know:

P is the circumcenter of ABC. If BP = âˆš29, AP = âˆš5x + 1, and PF = 15, find FC. B D P

Number of squares 2 Number of matches 10 113 22 Perimeter 10 16 Based on the table, Determine a general formula for the perimeter (p) and the number of joined squares (n} Write [ in the form: p

2 A quadrilateral has vertices K(-1, 4), L(2, 2), M(O, ~1), and N(-3, 1). Verify that a) KLMN is a square b) each diagonal of KLMN is the perpendicular bisector of the other diagonal c) the diagonals of KLMN are equal in length

The right triangle below is the image of a right triangle that was dilated by a scale factor of %. Find the area of the preimage, the original right triangle, before its dilation. Figures are not necessarily drawn to scale. 24 25

2. AACE~AIKS. Determine the length of x: 8 cm, b: 3.5 cm, 6 cm, d: 10 cm, 240 m, 14 cm, 4 cm, 16.

Let the vector v have an initial point at (0, 2) and a terminal point at (6, 8). Plot the vector V and afterwards follow the guided steps to analyze the vector. Note: You must answer all questions about in order to submit.

Find the approximate circumference of the circle with a diameter of 14 m. Use Ï€-3.14 and round to the nearest tenth.

In the figure below, AXYZ ABC: Find cosC, tanC, and sinC. Round your answers to the nearest hundredth. 30.8 X cosC tanC 0 ~sinC

Determine the measure of the complementary angle to the angle shown below: 128Â° nEt 1335 MLI 78Â° MLLr 1685

Classify the quadrilateral with vertices T(2, 4), U(8, 2), V(7, 1), and W(1, 1). Justify this classification. b) Verify any property of the diagonals of TUVW.

What is the value of âˆš07?

In the diagram, two circles touch each other externally at point A. The line segment AB is a common tangent to both circles. The line segment PAQ is a double chord of the larger circle, with QR as its diameter. PT is a tangent to the smaller circle at point T. The lines ORT and NAR are straight…

Find the value of h for the parallelogram to the right: 12 10

Rigid Transformations: Question 6 Quadrilateral ABCD has vertices A = (0,4), B = (0,3), C = (3,0), and D = (3,4). Quadrilateral A'B'C'D' is formed when quadrilateral ABCD is reflected over the x-axis. What are the coordinates of quadrilateral A'B'C'D'? A' = (0,-4), B' = (0,-3), C' = (3,0), and…

Find the area of the isosceles trapezoid. Round t0 the nearest tenth: 12 cm 609 60 18 cm

Solve for the value of W (9W-5)S (8W+8)O

Find the length of (4/5,-2/5)1

Learning Task 2: Supply Mel Directions: Use the figure below in answering each of the following questions. Supply the reason. The first item is done for you.

14) Given the equation ofa circle is (x + 1)2 + (y - 3)2 = 24 Whal E the centet?

Find the measure of angle ZP. mZP =

twice the other angle: Which of the following systems of equations could be Onc acute angle of a right triangle is 36` more than used to find the smaller angle? A)i = %y + 30 Ity = 180 B) I =y +36 , I +y = 90 C)I + 36 = 2y, < +v = 00 D} z = 2y + 36 , = +y = 90

Triangle ABC is going to be reflected over the y-axis. If A is located at (4,3), where will A' be located? (Chapter 11) Select the correct response (4,3) (3,4) (-4,3) (-3,-4)

What is mL1? 620 340 mL1 =

Which of the segments below is a chord? W OPz PE JT ET

Use the graph to solve the given system of equations by plotting both lines and finding the point of intersection. Then enter your solution below, moving the dots. y = 73 - 9(31 - iv)

Statements Reasons Exterior Angle Inequality Theorem Substitution Property Converse of Isosceles Triangle Theorem Angle Side Inequality Theorem Given: AB = AD Prove: AD > AC Proof: 1. AB = AD Given 2. âˆ B > âˆ D Exterior Angle Inequality Theorem 3. âˆ LAC > âˆ D Converse of…

In the diagram, TA and TB are tangents to the circle with center O. Given that OT = 13 cm and âˆ ATO = 32Â°, calculate: (a) âˆ ACB (b) the length of TB

Select the graph that would represent the best presentation of the solution set |abs(y) + 2 > 6.

Solve the following inequality and graph the solution set |x+1|/328.

Parallelogram PQRS is shown below: P S R Some of the dimensions of the parallelogram are as follows: QR = T cm, RS = 5 cm, QT = 6.5 em. What is the area of the parallelogram? 24 em? 325 em? 35 em? 45.5 cm?

In the diagram below; PA and PB are tangents t0 circle 0. Find the value ofx (A) 1358 (B) 858 509 158

Spotlight 84' 100 ft Find the area that the spotlight covers. Round to the nearest whole number:

In the diagram, JK is the perpendicular bisector of NL. What segment lengths are equal? Explain your reasoning. Find NK. Explain why M is on JK. 6x 4x + 1

What is the value of w? 1059 W 959 450 758 959 1159 135'

Find the value ofx 119 174

Express the vector (2, ~6) in terms of the standard unit vectors i andj:

Solve for * 23) IBx = 6 1202 A) 9 C) 11 B) 3 D) 7

Find the circumference of each circle 17) 14 yd A) 161 yd C) 41 yd B) 10Ï€ yd D) 121 yd

In the illustration below, angles <1 are supplementary; if the measure of angle <1 is 115 degrees, what is the measure of angle <2? A. 1155 B. 90 C. 858 D. 65

This is 4 Sauavz. 2. Circle AB is a tangent line. 3. Find the area of the square. 4. Find the length of AC.

If they are, write a similarity statement. Explain your reasoning. Determine whether the triangles are similar. Circle one: Yes, they're similar. No, they're not similar. If YES, Similarity Statement: Statements Reasons

In parallelogram ABCD, if mâˆ ACDA = 125Â°, find mâˆ ZABC.

Find the area of each regular polygon with the 5. pentagon, a-24. Ziven apothem and side. s- 35 octagon, a= 60.4 in , $-50 in_ decagon; a= 19m ,_ 12.3 m heptagon, a= 29,1 ft. 5 = 28 ft

Triangle ABC is similar to Triangle XYZ. Given the scale factor from Triangle ABC to Triangle XYZ is 12 units, then what is the perimeter of Triangle XYZ if the perimeter of Triangle ABC is 5 units? What is the area of Triangle XYZ if the area of Triangle ABC is 6 units?

Solve the following system of equations graphically on the set of axes below: y 21 2 x - y = 5 Plot tWO lines by clicking the graph Click a line to delete it;

If the distance from Figure A to Figure B is 38, find the value of: A = 24 B = 15

Given the central angle, name the arc formed LGQJH

In the diagram below, ABC is a triangle: AD = a and AE = b. D is a point on AB such that AB = 4AD. E is a point on AC such that AC = 2AE. F is a point on BC such that BC = 4BF. Write the vector EF in terms of a and b in its simplest form. (2 marks) EF = 0

JRestatement point not on L. Then there is a line which is perpendicular to L. Let be a line and let P be a point on L. Statements_ Reasons and The ruler postulate_ Line L contains two points_ There is a ray QM with M on the opposite side of Angle Construction such that ZMQR Z LPQR. Postulate…

Solve for x in the parallelogram below. Then, find the measure of QR: â‚¬ + x 2x - 2 0

Rhombus BCDE is graphed on the coordinate plane_ It has coordinates B(-3, 2) , C(2, 5) , D(5, s), and Elt, 7) Solve for $ and t. Simplify any radicals_

Drag the dots to plot 73,-2),(-8,7) and (2, 0) Ot -8 -6-4 2_ 4 + 6 _ 8

What is the measure of ZL? D = 9x - 24)8 (x + 9)^0 M = (6x + 5)^0

Given: FEDC is a parallelogram Prove: APOE is a parallelogram

Graph the following equation using Intercepts: y - 10 = 2x

The angle formed by A and B is 40Â°. The angle formed by A and C is twice the magnitude of A. Determine the magnitude of B and the magnitude of C in terms of A, D, and E.

The circle has a center at the point (-2,5). If the point (4,1) lies on the circle, what is the length of its radius?

Question 20) Identify the translation of the figure with the vertices F(4,0), G(1,3), H(2,6), and I(4,2) along the vector <-4,-4>.

Find the distance d (P1, Pz) between the points P1 and Pz- P1 = (2, 1); Pz = (1,5) d(P1, P2) = 2 2 (Simplify your answer: Type an exact answer; using radicals as needed )

Determine the measure of the given arc or chord. 1428 38' M on mKLM =

Find the missing length 14 27) Find LM R M # 2 2*-11 x+8

0 v+x__>( (ZI N C

The diameter of a circle is 32 cm. Find its area to the nearest whole number_ Answer: A = Submit Answer cm?

What is the length of AC? 8 R 4 B A 15 17 16 19 18

If the quadrilateral below is a rectangle, find the missing measures. 19 2 31 Column A Column B VW a. 31 2. WX b. 36.4 3 YW C. 18.2 4. ZX d. 19 5_ VX

ZQPR 136" and that 05 tangent to the circle at 0. Find the following Tedrele E"i i21 csnfer P. Suppose that @R = D ZROS =

In the diagram below, lines m and n are parallel 6 +12) (41 - 10)" What is the value of x?

If 4 = 2âˆš7 + 3âˆš7 and B = âˆš7 + 2âˆš7, what is 4 + B? a) 4âˆš7 + 4âˆš7 b) 3âˆš7 + 5âˆš7 c) 5âˆš7 + 3âˆš7 d) âˆš7 + âˆš7

The limits of the city of Las Pythagoras have the shape of an isosceles right triangle, whose legs are 252 kilometers long: Its population is 100, 000 people. What is the population density of Las Pythagoras?

42. An equilateral triangle has an altitude length of 33 feet_ Determine the length of a side of the triangle 1.2243 ft 3343 b tt] c.33 3 ft Id 66 ft

Calculate 6u + 4v u = (5, 0) and v = (-6, 5)

64 + 4x 3z + 25 + 7 6) What is the perimeter of triangle ABC in simplest terms? 2x(5x + 7) 3x + 6 - 34(5x + 7) 15x + 10 (64 - 41)(5x + 7) Di 9464 + 20 * - 28 Kale

Slopes of Parallel and Perpendicular Lines. For the given slope, find the slope of any parallel and perpendicular line to the slope of 4. Slope of Any Parallel Line Slope of Any Perpendicular Line 3) # 4) 5) 11 # 6) 12 7) { 8) # 9) 12 10) 10

Triangle. Plot the points H(7,8), I(3,8), and J(2,-1). Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.

Find the measure of 3) 39

Find the arc length (portion of the circumference) of the dotted arc shown_ Round answers to the nearest tenth (1 decimal place) 25 628

Whlch Is an equation in point-slope form for the given point and slope? Point; (5, 91; Slope; 2 0 Y - 9 - 2(x - 5) 0 Y - 5 - 2x + 9) (1y+9 = 2(x - 5) 0Y-9 - ?x + 5)

Find the area of each figure in meters_ 2 11.2 Number 2 Number m? m?

The equation of a circle is given by (x-4)2+ (y+4)2 = 9 Find the coordinates of the center of this circle: Center Enter your next step here

77 An angle turns through 60 one-degree angles_ What is the measure of the angle? degrees

Write a linear equation for the graph shown Select one: y-2x+3 Y-3x-1.5 =X+3 Y=3x+2

Line n is represented by the equation y = 1 - (1/28 + 41). Select all equations that would be parallel to line n. 0r2 - 1/2M - 4 Or a - (uzur - J) 0vt (uzk - 8) Or 2 + 5 Dv9 - (-2 + 6)

Skills: Rotations and enlargements. Shape has been rotated clockwise to produce a new shape. It has also been enlarged to produce another shape. Find the angle and centre of the rotation. You may want to copy the diagram on paper. You can drag this point onto the graph to help you. Find the…

Which equation represents 3 circle whose center is (4,_ 2) with a radius of 9? 0642 64 0W R1" 5# eR 8 3 W94

Draw the image of ΔDEF after a dilation with center (0, 0) and scale factor of 2. Find the coordinates of each point in the original figure. Multiply each coordinate by Find the coordinates of each point in the image: Graph the image.

mJK = 1069 and mLKJL-35". Find the following in the circle below: IK is diameter. Suppose (a) mZIL (b) MZIKJ

Parallel lines m and n are cut by transversal L. Which pair of angles is a pair of alternate interior angles? L2 and L5 L1 and L3 L4 and L6 L2 and L6

5 A student graphed parallelogram ABCD and Iine p on a coordinate plane, as shown: 8E; Part A The student will reflect parallelogram ABCD over line P to create its image, parallelogram EFGH. Which of the following Will be the coordinates of point H? (-2 -5) (72, -1) 0(, 1) (5,1)

The figure below shows five congruent line segments_ each with endpoint A_ Based on the angle measurements; which relationship among distances between endpoints can be established?

And all the values of all the angles F; in the describe below: Side of the right angles values to One decimal in degree: Round give angle $ Place it necessary a=2/623

Complete the equation for @A +3

Isosceles Triangle, Angle Bisector, and Congruent Triangles Given: BD is an angle bisector of triangle ABC. Proof: Statement Reasons 1. ABC is an isosceles triangle. Given 2. AL = BC. Definition of an isosceles triangle 3. Angle…

What is the value of 9? 26.70

The equation of the circle with endpoints of (1, 4) and (5, 4) is: (x - 3)^2 + (y - 4)^2 = 2

Given dilation with the origin O (0, 0), by observation determine the scale factor "K". Do,k = (5, 0) - (10, 0) What is the scale factor K?

Write the following inequality in slope-intercept form _ 17x Y > -18

The diameter of a circle is 2 inches. What is the circle's circumference? Use 3.14 for J.

(6 0n Soo pK 9 Length of the arc ST =

In the circle below, â‚¬ is the center; DR is a blank. HF intersects the circle. Gj intersects the circle and Le tre acramIe. Giet fenne.

Find the radius of a circle that has the sector area 68 m? and a central angle measure of 63 Round the the nearest hundredth:

Find the length of BC, rounded to the nearest hundredth, in the figure below. The diameter AC has a length of 13 and AB is tangent to the circle.

Quadrilateral PQRS is shown on the coordinate plane. The quadrilateral is rotated about the origin 180 degrees clockwise and then reflected over the X-axis to create quadrilateral P'R'. Which statement is true? P' is located at (1, 0). R' is located at (0, 4).

A circle has a radius of ft. Find the radian measure of the central angle 0 that intercepts an arc of length 4 f. Do not round any intermediate computations, and round your answer to the nearest tenth. radians X

In the diagram below, MN is parallel to JK. If LN = 15, KN = 10, and ME = 18, find the length of JE. Figures are not necessarily drawn to scale.

Find the measure of the angle between the tWO vectors u = (1,4) v = (7,-5)

What Is the value oi 27 968

Find the value of x 0 15 0 24

(a + 16)9 (a + 30)8 (a _ 18)8 What are the angle measures of the inscribed quadrilateral?

list all the possible names that describe this figure parallelogram quadrilatera rectangle square

313/6 6/6 M/3 20/3 50/6 7w/6 4/3 37/Sn/3 117/6 27 4137/6 Tm amplitude period phase shift Manipulate the graph so that it matches f(z) -3 cos(31 21) Give the coordinates of the points P Q R $ and T (you may use pi' to represent = ): a P= b Q = c R= d S= e T=

In the figure below, mâˆ LPSR = 89Â°. Find mâˆ PTR.

A table showing the arc lengths, in inches (in), intercepted by a central angle of 20Â° in circles of different radii is shown. All radii and arc lengths are rounded to the nearest whole number and nearest tenth, respectively. Radius (in.) | Central Angle | Arc Length (in.) 2.1 | 20Â° | 1.4 10…

Given the two rectangles below, find the area of the shaded region. Answer: units? Serane

Analytics Recommendations Skill plans Math Eighth grade Pythagorean theorem: find the perimeter VGE Learn with an example Watch tutorial 0 17 cm What is the perimeter? If necessary, round to the nearest tenth centimeters Submit Language |

Which of the vectors =(1,2), b =(0,1), c =(-2,-4), u =(-2,1). v =(2,4), and =(-6,3) are 30 orthogonal? Answer: Orthogonal vectors are

Write an equation for a line in point-slope form and slope-intercept form that is parallel to y = 4x. Write an equation for line L in point-slope form: (Simplify your answer: Use integers or fractions for any numbers in the equation)

Question 2: Consider the following straight lines: L1: y = 31 + 7 L2: y = -x + 3 From the above lines, (a) Identify which are perpendicular.

right triangle and are the lengths of the legs and is the length of the hypotenuse. If b 4.5 miles and 6.3 miles, what is the perimeter? If necessary; round to the nearest tenth miles Submit

Find the total circumference of the circles of the following: Major arc length = 34cm 1120

2. Write a rule for the following translation:

One angle of a right triangle measures 318_ What is the measure of the other acute angle?

RS passes through the points R(-4, 5) and S(-1, 4) R'S' is the Image RS with after scale factor of dilation centered at (2, 0). What is the slope of R's? Write your answer as an integer or simplified fraction.

Given the circle below with secant UT and tangent RS, find the length of RS. Round to the nearest tenth if necessary: 22 26 Answer: 35 Submit Answer

6_ What is the measure of Y 103 80 A_ 108 B_ 239 C_ 329 D. 778

8, Line passes through the points (2, 4) and (7, -2) Plot a point on the line paralle] t0 t passing through point P other than P with integer coordinates [

For the following; lines CA and CB are tangent to the given circle and minor arc AB is 1239 . Find the value of x 1230` X

Consider the figure shown below. Use the fact that ABQR is congruent to AKLM to complete the congruence table shown below. Parts of triangle BOR Parts of angle KLM

In the diagram below; find the valu? of X 588 1160 270 580 29"

Find the area of a circle. Give an exact area and then use the approximation 3.14 for % t0 approximate the area: 236 in_ The exact area is square inches: (Simplify your answer: Type an exact answer in terms of €.) The approximate area is square inches (Type an integer or decimal rounded to the…

The graph below shows the solution set of which inequality?

In circle U, mWV = 859. Solve for x if mZWUV = 3(7 + 29). If necessary, round your answer to the nearest tenth.

Type SSS, SAS,ASA, SAA, or HL to describe these triangles: Enter

The diagram below shows a circle with the equation x^2 + y^2 = 109. A tangent to the circle is drawn at point A with coordinates (3, 10). Find an equation of the tangent at A.

Jay knows that in triangle ADOG = triangle ACAT; DG = CT, LDa = LC, and Z = G = LT. Which postulate or theorem can Jay use to illustrate that the triangles are congruent? ASA, AAS, SAS, or SSS? In figure 2, which of the following postulates or theorems illustrates triangle congruence? SSS, ASA,…

In trapezoid ABCD, if AC = BD, what can you say about trapezoid ABCD? Why is that? In kite RSTV, RS = RV and TS = TV. What can you conclude about ARTV and ARTS?

Measure of ETN N M 1350

How do you describe an isosceles trapezoid? Which theorem states that the area of a kite is half the product of the diagonals?

A quadrilateral ABCD is a kite with diagonals AC and DB intersecting at O. If the measures of OC = 15, AO = 6, and DO = 8, what is the area of KITE ABCD?

Mang Anton Tarmer wanted to own a place and fence around a rectangular piece of land. He supposed that the land has an area of 120 mÂ² and the length is 2m longer than the width. What is the perimeter of the land that he will fence?

Which equation best matches the graph shown below? Oy = ~A(c - 1)? _ 3 v = ~A(c+1)2 _ 3 Oy = A(r - 1)2 _ 3 Oy =4(+1)2 _ :

An isosceles triangle has been constructed so that its height is one half of its base. Without changing the base length; bow should the height of the triangle change to triple the area? A=2m

If w = 2 and |y| = 5, determine the dot product between 2y and w + 3y if the angle between w and y is 60Â°.

The diagram below shows the first four patterns of a sequence of patterns: Given that the diameter of each circle is 14 cm, make a general conclusion for the area of the unshaded region.

Which Iine is parallel to the line 2*+9 Oy= -3 2* - 9 Oy= 3*+9 O,5} X -9 Oy-2 +9

Find the image of the point (6, 12) after it is transformed by the dilation D(z,y) = (-Zz, -Zy) (~9, -18) (4, 8) (-4, -8) (9, 18)

Consider the following quadrilateral and determine the value of 2. Also, classify the quadrilateral by choosing the correct answer. This quadrilateral is a rectangle.

Find the x- and y-intercepts of the graph of the circle: (If an answer does not exist, enter DNE:) x^2 + Bx + y^2 + 2y + 13 = 0 STEP 1: Consider the equation for the circle, x^2 + 8x + y^2 + 2y + 13 = 0. Let y = 0. Give the resulting equation below: STEP 2: Solve your equation from Step 1 for…

For what values of x and y are the triangles t0 the right congruent by HL? andy =

Help answer the questions, Sean. Please locate the locations on the coordinate grid as given below: - Sean's house is at (-4, 5). - His school is at (-4, 3). - The community center is at (6, 3). - The grocery store is at (-4, -9). Now, let's work this out. It is recommended that you work on…

Congruent Angles Lesson Proportions Polygons AB Polygon Oe

The given figures are similar. Solve for x. 49 35 30 6r - 6 10 8.5 0 7

Which polygon will form a regular tessellation? dodecagon hexagon octagon 15-gon

Given: âˆ 2 and âˆ 4 are vertical angles. Prove: âˆ 2 = âˆ 4 Statements Reasons 1. âˆ 2 and âˆ 4 are vertical angles. Given 2. âˆ 2 and âˆ 3 are linear pairs. Definition of linear pair 3. âˆ 3 and âˆ 4 are linear pairs. Definition of linear pair 4. mâˆ 2 + mâˆ 3 = 180Â°. Linear pair theorem 5.…

1 Given the points A(-2, 5) and B(6, -3) determine the a) Midpoint of line segment AB (3 marks) b) Length of line segment AB (3 marks)

Which point is located at 8.95? Point A Point B Point C Point D

Which region labeled in the graph below would represent the solution (final scheduled v < 12) of the system of linear inequalities? Region A Region B Region C Region D

point Pis mapped onto point (-5 2) under the translation (g) A coordinates of P are The

Find h to the nearest tenth. 620 The length of h is approximately (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest tenth as needed).

Solve the problem. How: Area of Square (side) x (side) Find the formula for the area of the shaded region and express it in factored form. Select one: A. (y+7)(y-7) B. (y+7)^2 C. (y-7)^2 D. y^2 + 49

What is the angle measure of each interior angle of a regular decagon? 36" 108" 1449 1,0802

Perpendicular Equation of the Parallel Line and the Perpendicular Line Complete the statements about finding "the equation of the line that is parallel to a given line and passes through point (2, -3). The slope of the graphed line. The slope of the parallel line. An equation that can be…

Which inequality below satisfies the solution set graphed on the following number line? 0 2 4 6 70 12 14 16 A. 2x + 4 < 60 B. 22 + 60 > 16x C. 2x + 36 - 120 D. x^2 + 16x + 60 > 0

Hnd the slope cf the Ilne graphed belowi

Find the perimeter of the rectangle 0 10 10âˆš3 10âˆš

Find the measure of Zb 579 678 @457i EB. 568 KC. 47 D16}

Find the value of x 918 (Sx + 14)2

Andy is installing a new sink in his new bathroom. He has marked 3 points on the countertop where 3 circles must pass to install the sink exactly where he needs it. Which point of concurrence of the triangle connecting the three points must he locate to construct the circle for the…

Consider the line y = 6. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of perpendicular line: 0 Slope of parallel line:

Line 1: v = Tm4 3 Line 2: v = X-4 3 This system of equations is: O inconsistent consistent dependent consistent independent This means the system has: unique solution Solution: infinitely many solutions no solution

Find the following information for the points below. E(1,2) F (2,5) H (4,3) G (5,6) JEFGH on the graph paper. Plot points and connect to form a quadrilateral. Determine whether the quadrilateral is a trapezoid, kite, parallelogram, rhombus, rectangle, or square. Find the coordinates of the…

For the rhombus below, find the measures 0f L1, L2, L3 and L4: m21 mL2 I 0 0 0 mL3 m24

(9-10) Find the MISSING COORDINATES: 9_ H (9,d) E (0,0) Y (9,2) L (4c,0)

According to the figure below, deduce: mZA, mZB, mZC, mD, mZE, MZF.

Observe in similar figures E2K UVWXY CDEFG. What is mZE? 1200 1090 w C 850 1000 mZE Submit

54 ' Zy = 2 Ji - J = 18 The slopes are the same, and the y-intercepts are the same. The slopes are the same, but the y-intercepts are different. The slopes are different and the y-intercepts are the same. The slopes are different and the y-intercepts are different.

A rectangular yard measuring 35 ft by 53 ft is bordered (and surrounded) by a fence all the way along. Find the area of this walk inside, a walk that is 3 ft wide. Be sure to include the correct unit in your answer.

Find the area of the figure: (Sides meet at right angles) 5in

You move up 0 units and down units; you end at (0, J). Where did you land?

Answer in the box: Use numerals instead of words, if necessary. Use the fraction bar. Type (âˆš8/âˆš5) for the traction bar. Find the measure of âˆ ABC. In âˆ†YAB,

State the equation that vertical line passes through the point (8, -7). Ox = 8, Oy = -7 The equation of the vertical line does not exist since its slope is undefined.

6l @ AABC . I KA-24 40 and Ice J1 then what is the value of *

The figure below shows a rectangular lawn. 140 19 & (a) Use the calculator to find the area and perimeter of the lawn. Make sure to include the correct units: Area: 406 Perimeter: 56

the Pythagorean Theorem to find the length of the leg: Round to the In the following exercises, use nearest tenth if necessary: 20Z. 10

Graph the set {x 73 <x< ?) on the number line_ Then, write the set using interval notation_

10. In the given ligure, if x = 3y; lind *' and y'

Consider the vectors U (red) and V (green): Clear all drawings: Draw the vector twice: Once in standard position (initial point at the origin), and once with the initial point at the terminal point of U.

4. Find the coordinates of the ordered pair where the maximum value occurs for the equation P = Tz + y + 20, given these constraints: ~4x + 4y 2 -16 I 2-16 y <4 0 (-4,0) (-16,-20) 0 (4,-8) 0 (8,4)

First state the slope and Y int for each line, then graph the linear system below and state the point of intersection. All work must be shown to get full marks: [4K] 4x+ 4y = 32 8x - Zy = 2

Given that PQ = QR and âˆ AOPQ = 40Â°, find âˆ 4QOR.

The solution to which inequality is graphed below? ~3t + 3 > 12 4t - 4 > 16 7t +2 2 37 2t - 5 > 15

The Reflection rule in the Given Figure.

Which of the following statements about ZD and GE is true? ICD and CE are the same length. BilCD is longer than ZEI. Icels longer than Cd. CE is 5 units long.

23. What is the m BDA ? 3608 b 252" C_ 72" d. 144'

1.3.4 Study the diagram below and answer the questions that follow: 10 72' 238 Determine with reasons the value of: Angle DBC Angle DEC Angle AEB [27] @

Rectangle ABCD translates units down and 2 units to the right to form an alphabetical order rectangle A'BCD'. The vertices of the rectangle going clockwise around the figure: If AB = 3 units and AD = 5 units, what is the length of BC? 3 units 5 units 11 units units

The figure below is dilated with the center of dilation at the origin and a scale factor of 4 What are the coordinates of the image of point A after this transformation? 42-1-10-4 -8 -7 35-4 3 - 2 3 4 6 7 8 10 [1 12

Which ordered pair describes the location of the point shown on the coordinate system below? 0 A (2,-1) 0 B. (1,22) C. (2,1) D. (-1,2)

Identify the hypotenuse; opposite & adjacent from ANGLE A in the following triangle: Hypotenuse Opposite Adjacent

10 What type of lines are shown? Explain how you know:

P is the circumcenter of ABC. If BP = âˆš29, AP = âˆš5x + 1, and PF = 15, find FC. B D P

Number of squares 2 Number of matches 10 113 22 Perimeter 10 16 Based on the table, Determine a general formula for the perimeter (p) and the number of joined squares (n} Write [ in the form: p

2 A quadrilateral has vertices K(-1, 4), L(2, 2), M(O, ~1), and N(-3, 1). Verify that a) KLMN is a square b) each diagonal of KLMN is the perpendicular bisector of the other diagonal c) the diagonals of KLMN are equal in length

The right triangle below is the image of a right triangle that was dilated by a scale factor of %. Find the area of the preimage, the original right triangle, before its dilation. Figures are not necessarily drawn to scale. 24 25

2. AACE~AIKS. Determine the length of x: 8 cm, b: 3.5 cm, 6 cm, d: 10 cm, 240 m, 14 cm, 4 cm, 16.

Let the vector v have an initial point at (0, 2) and a terminal point at (6, 8). Plot the vector V and afterwards follow the guided steps to analyze the vector. Note: You must answer all questions about in order to submit.

Find the approximate circumference of the circle with a diameter of 14 m. Use Ï€-3.14 and round to the nearest tenth.

In the figure below, AXYZ ABC: Find cosC, tanC, and sinC. Round your answers to the nearest hundredth. 30.8 X cosC tanC 0 ~sinC

Determine the measure of the complementary angle to the angle shown below: 128Â° nEt 1335 MLI 78Â° MLLr 1685

Classify the quadrilateral with vertices T(2, 4), U(8, 2), V(7, 1), and W(1, 1). Justify this classification. b) Verify any property of the diagonals of TUVW.

What is the value of âˆš07?

In the diagram, two circles touch each other externally at point A. The line segment AB is a common tangent to both circles. The line segment PAQ is a double chord of the larger circle, with QR as its diameter. PT is a tangent to the smaller circle at point T. The lines ORT and NAR are straight…

Find the value of h for the parallelogram to the right: 12 10

Rigid Transformations: Question 6 Quadrilateral ABCD has vertices A = (0,4), B = (0,3), C = (3,0), and D = (3,4). Quadrilateral A'B'C'D' is formed when quadrilateral ABCD is reflected over the x-axis. What are the coordinates of quadrilateral A'B'C'D'? A' = (0,-4), B' = (0,-3), C' = (3,0), and…

Find the area of the isosceles trapezoid. Round t0 the nearest tenth: 12 cm 609 60 18 cm

Solve for the value of W (9W-5)S (8W+8)O

Find the length of (4/5,-2/5)1

Learning Task 2: Supply Mel Directions: Use the figure below in answering each of the following questions. Supply the reason. The first item is done for you.

14) Given the equation ofa circle is (x + 1)2 + (y - 3)2 = 24 Whal E the centet?

Find the measure of angle ZP. mZP =

twice the other angle: Which of the following systems of equations could be Onc acute angle of a right triangle is 36` more than used to find the smaller angle? A)i = %y + 30 Ity = 180 B) I =y +36 , I +y = 90 C)I + 36 = 2y, < +v = 00 D} z = 2y + 36 , = +y = 90

Triangle ABC is going to be reflected over the y-axis. If A is located at (4,3), where will A' be located? (Chapter 11) Select the correct response (4,3) (3,4) (-4,3) (-3,-4)

What is mL1? 620 340 mL1 =

Which of the segments below is a chord? W OPz PE JT ET

Use the graph to solve the given system of equations by plotting both lines and finding the point of intersection. Then enter your solution below, moving the dots. y = 73 - 9(31 - iv)

Statements Reasons Exterior Angle Inequality Theorem Substitution Property Converse of Isosceles Triangle Theorem Angle Side Inequality Theorem Given: AB = AD Prove: AD > AC Proof: 1. AB = AD Given 2. âˆ B > âˆ D Exterior Angle Inequality Theorem 3. âˆ LAC > âˆ D Converse of…

In the diagram, TA and TB are tangents to the circle with center O. Given that OT = 13 cm and âˆ ATO = 32Â°, calculate: (a) âˆ ACB (b) the length of TB

Select the graph that would represent the best presentation of the solution set |abs(y) + 2 > 6.

Solve the following inequality and graph the solution set |x+1|/328.

Parallelogram PQRS is shown below: P S R Some of the dimensions of the parallelogram are as follows: QR = T cm, RS = 5 cm, QT = 6.5 em. What is the area of the parallelogram? 24 em? 325 em? 35 em? 45.5 cm?

In the diagram below; PA and PB are tangents t0 circle 0. Find the value ofx (A) 1358 (B) 858 509 158

Spotlight 84' 100 ft Find the area that the spotlight covers. Round to the nearest whole number:

In the diagram, JK is the perpendicular bisector of NL. What segment lengths are equal? Explain your reasoning. Find NK. Explain why M is on JK. 6x 4x + 1

What is the value of w? 1059 W 959 450 758 959 1159 135'

Find the value ofx 119 174

Express the vector (2, ~6) in terms of the standard unit vectors i andj:

Solve for * 23) IBx = 6 1202 A) 9 C) 11 B) 3 D) 7

Find the circumference of each circle 17) 14 yd A) 161 yd C) 41 yd B) 10Ï€ yd D) 121 yd

In the illustration below, angles <1 are supplementary; if the measure of angle <1 is 115 degrees, what is the measure of angle <2? A. 1155 B. 90 C. 858 D. 65

This is 4 Sauavz. 2. Circle AB is a tangent line. 3. Find the area of the square. 4. Find the length of AC.

If they are, write a similarity statement. Explain your reasoning. Determine whether the triangles are similar. Circle one: Yes, they're similar. No, they're not similar. If YES, Similarity Statement: Statements Reasons

In parallelogram ABCD, if mâˆ ACDA = 125Â°, find mâˆ ZABC.

Find the area of each regular polygon with the 5. pentagon, a-24. Ziven apothem and side. s- 35 octagon, a= 60.4 in , $-50 in_ decagon; a= 19m ,_ 12.3 m heptagon, a= 29,1 ft. 5 = 28 ft

Triangle ABC is similar to Triangle XYZ. Given the scale factor from Triangle ABC to Triangle XYZ is 12 units, then what is the perimeter of Triangle XYZ if the perimeter of Triangle ABC is 5 units? What is the area of Triangle XYZ if the area of Triangle ABC is 6 units?

Solve the following system of equations graphically on the set of axes below: y 21 2 x - y = 5 Plot tWO lines by clicking the graph Click a line to delete it;

If the distance from Figure A to Figure B is 38, find the value of: A = 24 B = 15

Given the central angle, name the arc formed LGQJH

In the diagram below, ABC is a triangle: AD = a and AE = b. D is a point on AB such that AB = 4AD. E is a point on AC such that AC = 2AE. F is a point on BC such that BC = 4BF. Write the vector EF in terms of a and b in its simplest form. (2 marks) EF = 0

JRestatement point not on L. Then there is a line which is perpendicular to L. Let be a line and let P be a point on L. Statements_ Reasons and The ruler postulate_ Line L contains two points_ There is a ray QM with M on the opposite side of Angle Construction such that ZMQR Z LPQR. Postulate…

Solve for x in the parallelogram below. Then, find the measure of QR: â‚¬ + x 2x - 2 0

Rhombus BCDE is graphed on the coordinate plane_ It has coordinates B(-3, 2) , C(2, 5) , D(5, s), and Elt, 7) Solve for $ and t. Simplify any radicals_

Drag the dots to plot 73,-2),(-8,7) and (2, 0) Ot -8 -6-4 2_ 4 + 6 _ 8

What is the measure of ZL? D = 9x - 24)8 (x + 9)^0 M = (6x + 5)^0

Given: FEDC is a parallelogram Prove: APOE is a parallelogram

Graph the following equation using Intercepts: y - 10 = 2x

The angle formed by A and B is 40Â°. The angle formed by A and C is twice the magnitude of A. Determine the magnitude of B and the magnitude of C in terms of A, D, and E.

The circle has a center at the point (-2,5). If the point (4,1) lies on the circle, what is the length of its radius?

Question 20) Identify the translation of the figure with the vertices F(4,0), G(1,3), H(2,6), and I(4,2) along the vector <-4,-4>.

Find the distance d (P1, Pz) between the points P1 and Pz- P1 = (2, 1); Pz = (1,5) d(P1, P2) = 2 2 (Simplify your answer: Type an exact answer; using radicals as needed )

Determine the measure of the given arc or chord. 1428 38' M on mKLM =

Find the missing length 14 27) Find LM R M # 2 2*-11 x+8

0 v+x__>( (ZI N C

The diameter of a circle is 32 cm. Find its area to the nearest whole number_ Answer: A = Submit Answer cm?

What is the length of AC? 8 R 4 B A 15 17 16 19 18

If the quadrilateral below is a rectangle, find the missing measures. 19 2 31 Column A Column B VW a. 31 2. WX b. 36.4 3 YW C. 18.2 4. ZX d. 19 5_ VX

ZQPR 136" and that 05 tangent to the circle at 0. Find the following Tedrele E"i i21 csnfer P. Suppose that @R = D ZROS =

In the diagram below, lines m and n are parallel 6 +12) (41 - 10)" What is the value of x?

If 4 = 2âˆš7 + 3âˆš7 and B = âˆš7 + 2âˆš7, what is 4 + B? a) 4âˆš7 + 4âˆš7 b) 3âˆš7 + 5âˆš7 c) 5âˆš7 + 3âˆš7 d) âˆš7 + âˆš7

The limits of the city of Las Pythagoras have the shape of an isosceles right triangle, whose legs are 252 kilometers long: Its population is 100, 000 people. What is the population density of Las Pythagoras?

42. An equilateral triangle has an altitude length of 33 feet_ Determine the length of a side of the triangle 1.2243 ft 3343 b tt] c.33 3 ft Id 66 ft

Calculate 6u + 4v u = (5, 0) and v = (-6, 5)

64 + 4x 3z + 25 + 7 6) What is the perimeter of triangle ABC in simplest terms? 2x(5x + 7) 3x + 6 - 34(5x + 7) 15x + 10 (64 - 41)(5x + 7) Di 9464 + 20 * - 28 Kale

Slopes of Parallel and Perpendicular Lines. For the given slope, find the slope of any parallel and perpendicular line to the slope of 4. Slope of Any Parallel Line Slope of Any Perpendicular Line 3) # 4) 5) 11 # 6) 12 7) { 8) # 9) 12 10) 10

Triangle. Plot the points H(7,8), I(3,8), and J(2,-1). Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary.

Find the measure of 3) 39

Find the arc length (portion of the circumference) of the dotted arc shown_ Round answers to the nearest tenth (1 decimal place) 25 628

Whlch Is an equation in point-slope form for the given point and slope? Point; (5, 91; Slope; 2 0 Y - 9 - 2(x - 5) 0 Y - 5 - 2x + 9) (1y+9 = 2(x - 5) 0Y-9 - ?x + 5)

Find the area of each figure in meters_ 2 11.2 Number 2 Number m? m?

The equation of a circle is given by (x-4)2+ (y+4)2 = 9 Find the coordinates of the center of this circle: Center Enter your next step here

77 An angle turns through 60 one-degree angles_ What is the measure of the angle? degrees

Write a linear equation for the graph shown Select one: y-2x+3 Y-3x-1.5 =X+3 Y=3x+2

Line n is represented by the equation y = 1 - (1/28 + 41). Select all equations that would be parallel to line n. 0r2 - 1/2M - 4 Or a - (uzur - J) 0vt (uzk - 8) Or 2 + 5 Dv9 - (-2 + 6)

Skills: Rotations and enlargements. Shape has been rotated clockwise to produce a new shape. It has also been enlarged to produce another shape. Find the angle and centre of the rotation. You may want to copy the diagram on paper. You can drag this point onto the graph to help you. Find the…

Which equation represents 3 circle whose center is (4,_ 2) with a radius of 9? 0642 64 0W R1" 5# eR 8 3 W94

Draw the image of ΔDEF after a dilation with center (0, 0) and scale factor of 2. Find the coordinates of each point in the original figure. Multiply each coordinate by Find the coordinates of each point in the image: Graph the image.

mJK = 1069 and mLKJL-35". Find the following in the circle below: IK is diameter. Suppose (a) mZIL (b) MZIKJ

Parallel lines m and n are cut by transversal L. Which pair of angles is a pair of alternate interior angles? L2 and L5 L1 and L3 L4 and L6 L2 and L6

5 A student graphed parallelogram ABCD and Iine p on a coordinate plane, as shown: 8E; Part A The student will reflect parallelogram ABCD over line P to create its image, parallelogram EFGH. Which of the following Will be the coordinates of point H? (-2 -5) (72, -1) 0(, 1) (5,1)

The figure below shows five congruent line segments_ each with endpoint A_ Based on the angle measurements; which relationship among distances between endpoints can be established?

And all the values of all the angles F; in the describe below: Side of the right angles values to One decimal in degree: Round give angle $ Place it necessary a=2/623

Complete the equation for @A +3

Isosceles Triangle, Angle Bisector, and Congruent Triangles Given: BD is an angle bisector of triangle ABC. Proof: Statement Reasons 1. ABC is an isosceles triangle. Given 2. AL = BC. Definition of an isosceles triangle 3. Angle…

What is the value of 9? 26.70

The equation of the circle with endpoints of (1, 4) and (5, 4) is: (x - 3)^2 + (y - 4)^2 = 2

Given dilation with the origin O (0, 0), by observation determine the scale factor "K". Do,k = (5, 0) - (10, 0) What is the scale factor K?

Write the following inequality in slope-intercept form _ 17x Y > -18

The diameter of a circle is 2 inches. What is the circle's circumference? Use 3.14 for J.

(6 0n Soo pK 9 Length of the arc ST =

In the circle below, â‚¬ is the center; DR is a blank. HF intersects the circle. Gj intersects the circle and Le tre acramIe. Giet fenne.

Find the radius of a circle that has the sector area 68 m? and a central angle measure of 63 Round the the nearest hundredth:

Find the length of BC, rounded to the nearest hundredth, in the figure below. The diameter AC has a length of 13 and AB is tangent to the circle.

Quadrilateral PQRS is shown on the coordinate plane. The quadrilateral is rotated about the origin 180 degrees clockwise and then reflected over the X-axis to create quadrilateral P'R'. Which statement is true? P' is located at (1, 0). R' is located at (0, 4).

A circle has a radius of ft. Find the radian measure of the central angle 0 that intercepts an arc of length 4 f. Do not round any intermediate computations, and round your answer to the nearest tenth. radians X

In the diagram below, MN is parallel to JK. If LN = 15, KN = 10, and ME = 18, find the length of JE. Figures are not necessarily drawn to scale.

Find the measure of the angle between the tWO vectors u = (1,4) v = (7,-5)

What Is the value oi 27 968

Find the value of x 0 15 0 24

(a + 16)9 (a + 30)8 (a _ 18)8 What are the angle measures of the inscribed quadrilateral?

list all the possible names that describe this figure parallelogram quadrilatera rectangle square

313/6 6/6 M/3 20/3 50/6 7w/6 4/3 37/Sn/3 117/6 27 4137/6 Tm amplitude period phase shift Manipulate the graph so that it matches f(z) -3 cos(31 21) Give the coordinates of the points P Q R $ and T (you may use pi' to represent = ): a P= b Q = c R= d S= e T=

In the figure below, mâˆ LPSR = 89Â°. Find mâˆ PTR.

A table showing the arc lengths, in inches (in), intercepted by a central angle of 20Â° in circles of different radii is shown. All radii and arc lengths are rounded to the nearest whole number and nearest tenth, respectively. Radius (in.) | Central Angle | Arc Length (in.) 2.1 | 20Â° | 1.4 10…

Given the two rectangles below, find the area of the shaded region. Answer: units? Serane

Analytics Recommendations Skill plans Math Eighth grade Pythagorean theorem: find the perimeter VGE Learn with an example Watch tutorial 0 17 cm What is the perimeter? If necessary, round to the nearest tenth centimeters Submit Language |

Which of the vectors =(1,2), b =(0,1), c =(-2,-4), u =(-2,1). v =(2,4), and =(-6,3) are 30 orthogonal? Answer: Orthogonal vectors are

Write an equation for a line in point-slope form and slope-intercept form that is parallel to y = 4x. Write an equation for line L in point-slope form: (Simplify your answer: Use integers or fractions for any numbers in the equation)

Question 2: Consider the following straight lines: L1: y = 31 + 7 L2: y = -x + 3 From the above lines, (a) Identify which are perpendicular.

right triangle and are the lengths of the legs and is the length of the hypotenuse. If b 4.5 miles and 6.3 miles, what is the perimeter? If necessary; round to the nearest tenth miles Submit

Find the total circumference of the circles of the following: Major arc length = 34cm 1120

2. Write a rule for the following translation:

One angle of a right triangle measures 318_ What is the measure of the other acute angle?

RS passes through the points R(-4, 5) and S(-1, 4) R'S' is the Image RS with after scale factor of dilation centered at (2, 0). What is the slope of R's? Write your answer as an integer or simplified fraction.

Given the circle below with secant UT and tangent RS, find the length of RS. Round to the nearest tenth if necessary: 22 26 Answer: 35 Submit Answer

6_ What is the measure of Y 103 80 A_ 108 B_ 239 C_ 329 D. 778

8, Line passes through the points (2, 4) and (7, -2) Plot a point on the line paralle] t0 t passing through point P other than P with integer coordinates [

For the following; lines CA and CB are tangent to the given circle and minor arc AB is 1239 . Find the value of x 1230` X

Consider the figure shown below. Use the fact that ABQR is congruent to AKLM to complete the congruence table shown below. Parts of triangle BOR Parts of angle KLM

In the diagram below; find the valu? of X 588 1160 270 580 29"

Find the area of a circle. Give an exact area and then use the approximation 3.14 for % t0 approximate the area: 236 in_ The exact area is square inches: (Simplify your answer: Type an exact answer in terms of €.) The approximate area is square inches (Type an integer or decimal rounded to the…

The graph below shows the solution set of which inequality?

In circle U, mWV = 859. Solve for x if mZWUV = 3(7 + 29). If necessary, round your answer to the nearest tenth.

Type SSS, SAS,ASA, SAA, or HL to describe these triangles: Enter

The diagram below shows a circle with the equation x^2 + y^2 = 109. A tangent to the circle is drawn at point A with coordinates (3, 10). Find an equation of the tangent at A.

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