Name 9-1 Additional Practice Polygons in the Coordinate Plane Use the figure shown for Exercises 1-4. 1. Is line t parallel to line \( s \) ? 2. Is line \( p \) parallel to line \( r \) ? 3. Which lines are perpendicular to line \( t \) ? 4. Which lines are perpendicular to line s? 5. What is the length of \( \overline{A B} \) ? 6. What is the slope of \( \overline{C D} \) ? 7. What is the midpoint of \( \overline{A B} \) ? 8. What is the midpoint of \( \overline{C D} \) ? Use the figure shown for Exercises 9-12. 9. Is \( \triangle A B C \) a scalene, isosceles, or equilateral triangle? Is it a right triangle? Explain. 10. Find the area and perimeter of \( \triangle A B C \). 11. What type of quadrilateral is \( A B C D \) ? How do you know? 12. Find the area and perimeter of \( A B C D \). 13. A line passes through the point \( (0, a) \) and is perpendicular to another line with slope \( m \). What is the equation of the line? 14. The referee at a college football game is standing 12 yards behind the ball. The back judge is standing 22 yards in front of the ball. The field judge is standing exactly halfway between them. Using coordinates to model the situation, find how far in front of the ball the field judge is. Explain.
Added by Uliana H.
Close
Step 1
For Exercises 13 and 14, we can provide specific solutions. ### Exercises 1-4: Lines and Parallelism ** Show more…
Show all steps
Your feedback will help us improve your experience
Mirza Aslam Beig and 81 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
7. If AD=y-2,EF=20 & BC=31, what is the value of y? A. 15 B. 11 C. 10.2 D. 25 8. The area of kite PLAY=135cm2 and diagonal LY=9cm, what is the measurement of the other diagonal? A. 50 B. 20 C. 30 D. 40 9. The trapezoid MILE with median OT, then OT||MT and OT||LE. What theorem supports this statement? A. The Midline Theorem C. The diagonal theorem B. The Mid-segment Theorem D. Parallel theorem 10. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 11. Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. C. Two angles are supplementary. B. Two diagonals bisect each other. D. Two pairs of opposite sides are congruent. 12. Which of the following is NOT considered as properties of a parallelogram? A. Diagonals bisect each other C. Opposite angles are congruent B. Opposite sides are congruent D. Opposite sides are not parallel 13. In quadrilateral NAME, ∠N is supplementary to ∠A. What kind of quadrilateral is quadrilateral NAME? I. Trapezoid II. Rhombus III. Kite A. I only B. II only C. III only D. I, II, and III 14. In quadrilateral RSTW, diagonals RT and SW are perpendicular bisectors of each other. Quadrilateral RSTW must be a: I. Rectangle II. Rhombus III. Square A. I B. III C. II and III D. 1, II, and III 15. The sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm. Find its length. A. 10 cm B. 15 cm C. 20 cm D. 25 cm
Jessica H.
In Exercises 5 and 6, determine whether the polygons with the given vertices are congruent. Use transformations to explain your reasoning. 5. A(5, 2), B(2, 2), C(2, 7) and S(-4, -5), T(-1, -5), U(-1, 0) 6. E(6, -2), F(10, -2), G(10, -8), H(6, -8) and W(4, 8), X(4, 10), Y(8, 10), Z(8, 8) 7. In the figure, a || b, ΔCDE is reflected in line a, and ΔC'D'E' is reflected in line b. List three pairs of segments that are parallel to each other. Then determine whether any segments are congruent to EE". In Exercises 8 and 9, find the measure of the acute or right angle formed by intersecting lines so that P can be mapped to P" using two reflections. 8. A rotation of 28° maps P to P". 9. The rotation (x, y) → (-y, x) maps P to P".
James K.
Topic 1: Geometry Basics 1. Use the diagram to the right to answer the questions below. a. Name a point collinear to points S and T. b. Give another name for line b. c. Name a point non-coplanar to points R, T, and U. 2. Use the diagram to the right to answer the questions below. a. Name the intersection of planes JKL and HGL. b. Name a point coplanar to points F, K, and J. c. Are points E, J, and G coplanar? Explain. Distance Formula: Midpoint Formula: Use for questions 3-4: Given line segment AB with endpoints A(-1, 7) and B(11, -1) 3. Find the length of AB. 4. Find the midpoint of AB. 5. A segment has a midpoint at (2, -7) and an endpoint at (8, -5). What are the coordinates of the other endpoint? 6. If X is the midpoint of WY, WX = 3x - 1 and WY = 10x - 26, find XY. 7. Find the value of x. 8. If m∠LNK = (5x - 27)° and m∠KNM = (10x - 3)°, find m∠JNM.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD