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
Use the diagram to find the following. 3. Identify a pair of alternate exterior angles. A. 1 and 5 C. 2 and 5 B. 8 and 4 D. 1 and 8 4. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 C. angles 1 & 7, 2 & 4, and 6 & 7 B. angles 3 & 4, 7 & 8, and 1 & 6 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
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
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 C. same-side interior angles B. corresponding 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 m 6. The diagram is not to scale. A. 32 B. 138 C. 142 D. 42 4
11. Find m Q. The diagram is not to scale. A. 66 B. 56 C. 124 D. 103 12. Find m G. p r. The diagram is not to scale. A. 34 B. 110 C. 104 D. 146 13. Find m P. The diagram is not to scale. A. 106 B. 74 C. 64 D. 84 5
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 D. 32 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
17. Find the value of x for which p is parallel to q, if m 1 (9x) and m 3 117.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 19. Find the value of k. The diagram is not to scale. A. 72 B. 108 C. 105 D. 42 7
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 22. Find the value of x. The diagram is not to scale. A. 33 B. 70 C. 23 D. 13 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
24. What is the slope of the line shown? A. 6 11 B. 6 11 C. 11 6 D. 11 6 25. What is the slope of the line shown? A. 7 9 B. 9 7 C. 7 9 D. 9 7 9
26. What is the slope of the line shown? A. 13 6 C. 5 11 B. 5 12 D. 11 5 10
27. What is the graph of y = 3 4 x 2? A. C. B. 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
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? I. 5y 2x 5 II. 5y 4 3x 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)? A. y + 4 = 1 (x 8) C. y + 4 = 2(x 8) 2 B. x + 4 = 2(y 8) D. y + 8 = 1 (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
36. Give the slope-intercept form of the equation of the line that is perpendicular to 7x 8y = 12 and contains P( 3, 1). A. y 3 = 8 7 (x + 1) C. y = 8 7 x + 31 7 B. y = 8 7 x 29 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. A. y 7 = 1 (x + 3) C. x 3 = 9(y + 7) 9 B. y 3 = 1 (x + 7) D. y 3 = 9(x + 7) 9 13
Chapter 3 Test Answer Section 1. C 2. C 3. A 4. D 5. C 6. C 7. C 8. B 9. A 10. D 11. B 12. A 13. B 14. D 15. D 16. B 17. B 18. D 19. A 20. B 21. A 22. D 23. B 24. C 25. B 26. C 27. B 28. B 29. B 30. B 31. B 32. A 33. C 34. A 35. B 36. C 37. B 1