Transversal Lines Worksheet

Transversal Lines Worksheet

Transversal Lines Worksheet

Name: __________________________
Date: __________________________
Class: __________________________

Transversal Lines

A transversal is a line that intersects two or more lines at different points.

A. Identify the Transversal

Write Yes if the line described is a transversal and No if it is not.

  1. A line crosses two parallel lines. ______
  2. A line crosses only one line. ______
  3. A line crosses two lines at different points. ______
  4. A line does not intersect any other line. ______
  5. A line crosses three lines at different points. ______

B. Name the Angles

When a transversal crosses two parallel lines, identify the type of angle pair.

  1. Angles in the same relative position are called __________________ angles.
  2. Angles between the parallel lines and on opposite sides of the transversal are called __________________ angles.
  3. Angles between the parallel lines and on the same side of the transversal are called __________________ angles.
  4. Angles opposite each other at an intersection are called __________________ angles.
  5. Angles that form a straight line are called a __________________ pair.

C. Find the Missing Angle

Assume the two lines are parallel.

  1. If one corresponding angle is 65°, the matching corresponding angle is ______°.
  2. If one alternate interior angle is 72°, the other alternate interior angle is ______°.
  3. If one corresponding angle is 110°, the corresponding angle is ______°.
  4. If one interior angle is 55°, its same-side interior partner is ______°.
  5. If one angle is 125°, its vertically opposite angle is ______°.
  6. If one angle is 80°, its supplementary angle is ______°.
  7. If one alternate interior angle is 95°, its pair is ______°.
  8. If one angle is 45°, the angle vertically opposite it is ______°.
  9. If one angle is 135°, its supplementary angle is ______°.
  10. If one corresponding angle is 88°, its corresponding angle is ______°.

D. True or False

  1. Corresponding angles are equal when parallel lines are cut by a transversal. ______
  2. Alternate interior angles are equal when the lines are parallel. ______
  3. Same-side interior angles add up to 180° when the lines are parallel. ______
  4. A transversal must intersect at least two lines. ______
  5. Vertically opposite angles are always equal. ______

E. Multiple Choice

  1. Which line is a transversal?

A. A line that crosses two lines
B. A line that crosses no lines
C. A line segment with no intersection
D. A point

Answer: ______

  1. If one angle is 70°, its vertically opposite angle is:

A. 20°
B. 70°
C. 110°
D. 180°

Answer: ______

  1. If one angle is 120°, its supplementary angle is:

A. 40°
B. 50°
C. 60°
D. 120°

Answer: ______

  1. Corresponding angles are:

A. Always supplementary
B. Equal when the lines are parallel
C. Always 90°
D. Always different

Answer: ______

  1. Same-side interior angles on parallel lines have a sum of:

A. 90°
B. 120°
C. 180°
D. 360°

Answer: ______

F. Practice Problems

Use the given angle to find the missing angle.

  1. Given angle = 62°. Corresponding angle = ______°
  2. Given angle = 118°. Alternate interior angle = ______°
  3. Given angle = 74°. Vertically opposite angle = ______°
  4. Given angle = 96°. Supplementary angle = ______°
  5. Given angle = 42°. Same-side interior angle = ______°
  6. Given angle = 135°. Corresponding angle = ______°
  7. Given angle = 81°. Alternate interior angle = ______°
  8. Given angle = 109°. Supplementary angle = ______°
  9. Given angle = 57°. Vertically opposite angle = ______°
  10. Given angle = 90°. Corresponding angle = ______°

G. Challenge Questions

  1. Two parallel lines are cut by a transversal. One angle measures 68°. Find the measures of all angles that are equal to 68°.

Answer: __________________________

  1. One angle formed by a transversal is 115°. What is the measure of every angle supplementary to it?

Answer: __________________________

  1. If a pair of same-side interior angles are represented by x° and (2x + 30)°, find x.

Answer: __________________________

  1. If corresponding angles are (3x + 10)° and 100°, find x.

Answer: __________________________

  1. If alternate interior angles are (5x − 20)° and (3x + 30)°, find x.

Answer: __________________________

Answer Key

A:

  1. Yes
  2. No
  3. Yes
  4. No
  5. Yes

B:
6. Corresponding
7. Alternate interior
8. Same-side interior
9. Vertically opposite
10. Linear

C:
11. 65°
12. 72°
13. 110°
14. 125°
15. 125°
16. 100°
17. 95°
18. 45°
19. 45°
20. 88°

D:
21. True
22. True
23. True
24. True
25. True

E:
26. A
27. B
28. C
29. B
30. C

F:
31. 62°
32. 118°
33. 74°
34. 84°
35. 138°
36. 135°
37. 81°
38. 71°
39. 57°
40. 90°

G:
41. 68°
42. 65°
43. x = 50
44. x = 30
45. x = 25