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Name: ________________________ Class: ___________________ Date: __________ ID: A Test review - Geometry Unit 3 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of x for which p is parallel to q, if m∠1 = 4x and m∠3 = 112.The diagram is not to scale. a. 108 b. 116 c. 28 d. 112 ____ 2. Find the value of x for which l is parallel to m. The diagram is not to scale. a. 100 b. 80 c. 123 d. 41 ____ 3. Find the value of k. The diagram is not to scale. a. 17 b. 73 c. 118 d. 107 1 Name: ________________________ ____ ID: A 4. Find the values of x, y, and z. The diagram is not to scale. a. x = 86, y = 94, z = 75 b. x = 86, y = 75, z = 94 c. x = 75, y = 94, z = 86 d. x = 75, y = 86, z = 94 ____ 5. Find the value of x. The diagram is not to scale. a. 33 b. 162 c. 147 d. 75 ____ 6. Find the value of x. The diagram is not to scale. Given: ∠SRT ≅ ∠STR, m∠SRT = 20, m∠STU = 4x a. 5 b. 24 c. 20 d. 40 2 Name: ________________________ ____ ID: A 7. Find the value of x. The diagram is not to scale. a. 66 b. 19 c. 29 d. 43 ____ 8. What is the slope of the line shown? a. ____ 9 13 13 9 b. − c. d. − 13 9 9 13 9. What must be true about the slopes of two perpendicular lines, neither of which is vertical? a. The slopes are equal. b. The slopes have product 1. c. The slopes have product –1. d. One of the slopes must be 0. 3 Name: ________________________ ID: A This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways. ____ 10. How are ∠6 and ∠2 related? a. corresponding angles b. alternate interior angles c. same-side interior angles d. none of these ____ 11. If ∠8 measures 119, what is the sum of the measures of ∠1 and ∠4? a. 122 b. 238 c. 119 d. 299 ____ 12. Line r is parallel to line t. Find m∠5. The diagram is not to scale. a. 45 b. 35 c. 135 d. 145 4 Name: ________________________ ID: A ____ 13. Find m∠Q. The diagram is not to scale. a. 76 b. 104 c. 66 d. 114 ____ 14. Find m∠P. The diagram is not to scale. a. 50º b. 60º c. 40º d. 130º ____ 15. Find the value of x. The diagram is not to scale. a. 10 b. 11 c. 12 d. –11 5 Name: ________________________ ID: A ____ 16. Find the values of x and y. The diagram is not to scale. a. x = 77, y = 59 b. x = 77, y = 57 c. x = 57, y = 77 d. x = 41, y = 57 ____ 17. Find the value of x for which l is parallel to m. The diagram is not to scale. a. 28 b. 56 c. 84 d. 152 ____ 18. Find the value of x. The diagram is not to scale. a. 66 b. 19 c. 29 d. 43 ____ 19. A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale. a. 99 b. 91 c. 81 d. 105 6 Name: ________________________ ID: A ____ 20. Find the sum of the measures of the angles of the figure. a. 900 b. 1080 c. 1620 d. 1260 ____ 21. The sum of the angle measures of a polygon with s sides is 2520. Find s. a. 14 b. 16 c. 18 d. 15 ____ 22. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____. n−2 180 a. b. (n − 1)180 c. d. (n − 2)180 180 n−1 ____ 23. Complete this statement: A polygon with all sides the same length is said to be ____. a. regular b. equilateral c. equiangular d. convex ____ 24. What is the measure of one angle in a regular 25-gon? a. 194.4 b. 4140 c. 165.6 d. 82.8 ____ 25. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth. a. 900 b. 231.4 c. 128.6 d. 64.3 ____ 26. Find the value of x. The diagram is not to scale. a. 90 b. 35 c. 100 d. 45 7 Name: ________________________ ID: A ____ 27. Find m∠A. The diagram is not to scale. a. 107 b. 117 c. 63 d. 73 ____ 28. The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior angle? a. 75 b. 115 c. 105 d. 95 ____ 29. How many sides does a regular polygon have if each exterior angle measures 20? a. 17 sides b. 20 sides c. 21 sides d. 18 sides ____ 30. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. a. 18° b. 54° c. 36° d. 72° ← → ← → Determine whether WX and YZ are parallel, perpendicular, or neither. ____ 31. W ÊÁË 0, − 3 ˆ˜¯ , X ÊÁË −1, 5 ˆ˜¯ , Y ÊÁË 2, 5 ˆ˜¯ , Z ÊÁË −1, 2 ˆ˜¯ a. parallel b. perpendicular c. neither ____ 32. W ÊÁË −2, − 1 ˆ˜¯ , X ÊÁË 4, 1 ˆ˜¯ , Y ÊÁË 1, − 4 ˆ˜¯ , Z ÊÁË 5, − 4 ˆ˜¯ a. perpendicular b. parallel c. neither 8 ID: A Test review - Geometry Unit 3 Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. C D B B A D B B C A B C C A B B A B C A B D B C C D D C D C C C 1