Geometry
Chapter 3 Review Answers
1.
2.
3.
4.
5.
6.
7.
Parallel
Skew
Perpendicular
HF, AC, BD
CD, GH, DB, HF
GE, EF, AC, AB
Parallel lines are coplanar, but skew lines are
not coplanar.
8. Parallel lines never intersect, skew lines
never intersect.
9.  Corresponding Angle Converse,
 Alternate Interior Angle Converse
 Alternate Exterior Angle Converse
 Consecutive Interior Angle Converse
 Transitive Property of Parallel Lines
 If 2 lines are perpendicular to the same line,
they are parallel to each other. (p 192)
10. Yes; alternate interior angle converse
11. Yes; corresponding angle converse
12. Yes; consecutive interior angle converse
13. Yes; alternate exterior angle converse
14. Yes; Lines Perpendicular to a Transversal Th.
“if 2 lines are perpendicular to the same line,
they are parallel to each other.” (p192)
15. Yes; Transitive Property of Parallel Lines:
If k // l and l // m, then k // m.
16. c // d; alternate exterior angle converse
17. a // b; consecutive interior angle converse
18. none; no angle relationship
19. a//b; corresponding angle converse
20. none; consecutive interior angles  180°.
21. c // d, m  6 = 70° (Vertical Angles) and
m  4 + m  6 = 180° so lines are parallel by
consecutive interior angle converse.
22. none; not enough information
23. c // d; m  7 = 75° (or m<6 = 75°) because
linear pairs are supplementary. Lines are
parallel by alternate exterior angle converse (or
corresponding angle converse)
24. Both slopes are 4 so lines are parallel.
25. m =
2
3
, m = , so lines are  .
2
3
4
3
, m = , so lines are neither.
3
4
4
5
//m = ;  m =
5
4
1
 m = ; //m = -2
2
1
 m = 5; //m =
5
//m = undefined;  m = zero
26. m =
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
x = 29
x = 5, y = 140
a = 74, n = 13
x = 20, w = 104
x = 4, y = 43
not // because the vertical angle of 130° is
consecutive interior with 55°, but
130° + 55°  180°
37. Yes; Vertical angles are congruent and
consecutive interior angle converse
proves lines are parallel (also could have
used corresponding angles)
38. not //; vertical angles are congruent, so
(4x – 9) = (6x – 21) and x is 6. But then
corresponding angles would not be =, so
lines are not //.
39. Yes; because of a linear pair, we know
(3x + 7) + (5x + 5) = 180° and x = 21. By
corresponding angle converse, lines are
parallel.
40. Yes; by consecutive interior angle
theorem, 180° - 45° = 135° , so by
alternate interior angle converse, m // k.
41. No; consecutive interior angles tell us
that the alternate interior angle of 112° is
102°, but since they are not equal, the
lines are not parallel.
42. 60° (Use Alternate Interior Angles)
43. 95°
44.  3 = 72°, 180° - (58° + 50°) = 72°
 4 = 58°, alternate interior angles
 5 = 50°, alternate interior angles/vertical
angles