Name: ________________________ Class: ___________________ Date: __________ Chapter 3 Test ____ 1. What four segments are parallel to plane MRQL? A. segments JK, KL, JM, and ML C. segments JK, JN, NP, and KP B. segments NP, KP, PQ, and JN ____ D. segments JM, KL, NR, and PQ 2. What four segments are perpendicular to plane JKPN? A. segments ML, LQ, RQ, and MR C. segments JM, KL, PQ, and NR B. segments MR, LQ, NR, and PQ D. segments ML, RQ, JM, and NR 1 ID: A Name: ________________________ ID: A Use the diagram to find the following. ____ 3. Identify a pair of alternate exterior angles. A. 1 and 5 B. 8 and 4 ____ 4. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 B. angles 3 & 4, 7 & 8, and 1 & 6 ____ C. 2 and 5 D. 1 and 8 C. angles 1 & 7, 2 & 4, and 6 & 7 D. angles 1 & 7, 8 & 6, and 2 & 4 5. Which angles are corresponding angles? A. 7 and 3 C. 3 and 11 B. 8 and 3 D. none of these 2 Name: ________________________ ____ ____ ID: A 6. What is the relationship between 4 and 5? A. corresponding angles C. alternate interior angles B. same-side interior angles D. alternate exterior angles 7. Which statement is true? A. FEG and CBE are alternate angles. B. CBE and DEB are alternate angles. C. CBE and DEB are same-side interior angles. D. FEG and DEB are same-side interior angles. 3 Name: ________________________ ID: A This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways. ____ 8. How are 8 and 4 related? A. alternate interior angles B. corresponding angles ____ C. same-side interior angles D. none of these 9. If 8 measures 127, what is the sum of the measures of 1 and 4? A. 254 B. 307 C. 127 D. 106 ____ 10. Line r is parallel to line t. Find m6. The diagram is not to scale. A. 32 B. 138 C. 142 4 D. 42 Name: ________________________ ID: A ____ 11. Find mQ. The diagram is not to scale. A. 66 B. 56 C. 124 D. 103 C. 104 D. 146 C. 64 D. 84 ____ 12. Find mG. p r. The diagram is not to scale. A. 34 B. 110 ____ 13. Find mP. The diagram is not to scale. A. 106 B. 74 5 Name: ________________________ ID: A ____ 14. The expressions in the figure below represent the measures of two angles. Find the value of x. f g . The diagram is not to scale. A. 15 B. 17 C. –16 D. 16 ____ 15. Find the value of x. l m. The diagram is not to scale. A. 148 B. 116 C. 64 ____ 16. Find the values of x and y. The diagram is not to scale. A. x = 51, y = 63 C. x = 63, y = 77 B. x = 77, y = 63 D. x = 77, y = 65 6 D. 32 Name: ________________________ ID: A ____ 17. Find the value of x for which p is parallel to q, if m1 (9x) and m3 117.The diagram is not to scale. A. 108 B. 13 C. 117 D. 126 ____ 18. 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 C. 105 D. 42 ____ 19. Find the value of k. The diagram is not to scale. A. 72 B. 108 7 Name: ________________________ ID: A ____ 20. Find the values of x, y, and z. The diagram is not to scale. A. x 63, y 104, z 76 C. x 63, y 76, z 104 B. x 76, y 63, z 104 D. x 76, y 104, z 63 ____ 21. Find the value of x. The diagram is not to scale. A. 33 B. 162 C. 147 D. 75 C. 23 D. 13 ____ 22. Find the value of x. The diagram is not to scale. A. 33 B. 70 ____ 23. A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle? A. 30 B. 40 C. 5 D. 20 8 Name: ________________________ ID: A ____ 24. What is the slope of the line shown? A. 6 11 B. 6 11 C. 11 6 D. 11 6 C. 7 9 ____ 25. What is the slope of the line shown? A. B. 9 7 7 9 D. 9 9 7 Name: ________________________ ID: A ____ 26. What is the slope of the line shown? A. 13 6 C. 5 11 B. 5 12 D. 11 5 10 Name: ________________________ 3 ____ 27. What is the graph of y = x – 2? 4 A. B. ID: A C. D. ____ 28. Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4. A. y = 4x – 1 C. y + 1 = 4(x – 6) B. y = 4x – 25 D. y + 6 = 4(x – 1) ____ 29. Write an equation in point-slope form of the line through point J(4, –4) with slope 4. A. y 4 4 x 4 C. y 4 4 x 4 B. y 4 4 x 4 D. y 4 4 x 4 11 Name: ________________________ ID: A ____ 30. What is an equation for the line that passes through points (4, –4) and (8, 4)? A. (y – 4) = 2(x + 4) C. (y – 4) = –2(x + 4) B. (y + 4) = 2(x – 4) D. (y + 4) = –2(x – 4) ____ 31. Write the equation for the horizontal line that contains point G(3, 4). A. x = 4 B. y = 4 C. y = 3 D. x = 3 ____ 32. Which two lines are parallel? 5y 2x 5 I. 5y 4 3x II. III. 5y 3x 1 A. II and III C. I and III B. I and II D. No two of the lines are parallel. ____ 33. 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. ____ 34. What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)? 1 A. y + 4 = (x – 8) C. y + 4 = 2(x – 8) 2 B. x + 4 = 2(y – 8) 1 D. y + 8 = (x – 4) 2 ____ 35. Are the lines y = –x – 2 and 4x + 4y = 16 perpendicular? Explain. A. Yes; their slopes have product –1. B. No; their slopes are not opposite reciprocals. C. Yes; their slopes are equal. D. No; their slopes are not equal 12 Name: ________________________ ID: A ____ 36. Give the slope-intercept form of the equation of the line that is perpendicular to –7x – 8y = 12 and contains P(–3, 1). 8 8 31 A. y – 3 = (x + 1) C. y = x + 7 7 7 B. y = 8 29 x 7 7 D. y – 1 = 8 (x + 3) 7 ____ 37. Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 9x + 3. A perpendicular brace passes through the point (–7, 3). Write an equation of the line that contains the brace. 1 A. y – 7 = (x + 3) C. x – 3 = 9(y + 7) 9 1 B. y – 3 = (x + 7) 9 D. y – 3 = 9(x + 7) 13 ID: A Chapter 3 Test Answer Section 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. 33. 34. 35. 36. 37. C C A D C C C B A D B A B D D B B D A B A D B C B C B B B B B A C A B C B 1