Class
Name Date
Extra Practice
Chapter 3
Lesson 3-1
Use the cube to name each of the following.
1. all lines that are parallel to
2. a pair of parallel planes
3. two lines that are skew to
Identify all pairs of each type of angles in the diagram.
Name the two lines and the transversal that form each pair.
4. corresponding angles
5. alternate interior angles
6. same-side interior angles
7. alternate exterior angles
Lesson 3-2
Find m1 and m2. State the theorems or postulates that justify your answers.
8. 9. 10.
11. 12. 13.
Find the value of each variable. Then find the measure of each labeled angle.
14. 15. 16.
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Class
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Extra Practice (continued)
Chapter 3
17. Complete the proof.
Given: m, a b
Prove: 1 5
Statements Reasons
1. m, a b 1. Given
2. 1 2 a. __?__
3. 2 and 3 are supplementary. b. __?__
4. 3 and 4 are supplementary. c. __?__
5. 2 4 d. __?__
6. 1 4 e. __?__
7. 4 5 f. __?__
8. 1 5 g. __?__
Lesson 3-3
Refer to the diagram at the right. Use the given information to
determine which lines, if any, must be parallel. If any lines are
parallel, use a theorem or postulate to tell why.
18. 9 14 19. 1 9
20. 2 is supplementary to 3. 21. 7 10
22. m6 = 60, m13 = 120 23. 4 13
24. 3 is supplementary to 10. 25. 10 15
26. 1 8
Find the value of x for which a || b.
27. 28. 29.
30. Complete the flow proof below.
Given: 1 is
supplementary
to 2
Prove: m
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Class
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Extra Practice (continued)
Chapter 3
Lesson 3-4
31. Given: m, a b, a ⊥
Prove: b ⊥ m
32 Write a paragraph proof.
Given: a b , a ⊥ , b ⊥ m
Prove: m
Lesson 3-5
33. Use the figure at the right. What is the relationship
between and ? Justify your answer.
Find m1.
34. 35. 36.
Find the value of each variable.
37. 38. 39.
Lesson 3-6
Use the segments for each construction.
40. Construct a square with side length 2a.
41. Construct a quadrilateral with one pair of
parallel sides each of length 2b.
42. Construct a rectangle with sides b and a.
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Class
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Extra Practice (continued)
Chapter 3
Lesson 3-7
Use the given information to write an equation of each line.
43. slope −4, y-intercept 6 44. slope 7, passes through (1, −2)
Write an equation in point-slope form of the line that contains the given points.
45. A(4, 2), B(6, −3) 46. C(−1, −1), D(1, 1) 47. F(3, −5), G(−5, 3)
Write an equation in slope-intercept form of the line through the given points.
48. M(−2, 4), N(5, −8) 49. P(0, 2), Q(6, 8) 50. K(5, 0), L(−5, 2)
Lesson 3-8
Without graphing, tell whether the lines are parallel, perpendicular, or neither.
Explain.
51. y = 4 x − 8 53. y =
−4
52. 13 y − x = 7 x+2
3
y = 4x − 2 y
7− =x 4
2 y = x −1
3
54. 2x + 3y = 5 55. y = –2x + 7 56. 5x – 3y = 0
5
5x – 10y = 30 x – 2y = 8 y= x+2
3
Write an equation for the line parallel to the given line through the given point.
1 1
57. y = x − 7, (0, 4) 58. y = x + 3, ( 6, 3) 59. y = − x, ( 5, −8)
2 5
Write an equation for the line perpendicular to the given line through the given
point.
1 2
60. y = x + 2, (3, 2) 61. y = −2x, (4, 0) 62. y = x − , ( 5, −1)
3 5
63. On a city map, Washington Street is straight and passes through points at (7, 13) and
(1, 5). Wellington Street is straight and passes through points at (3, 24) and (9, 32).
Do Washington Street and Wellington Street intersect? How do you know?
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