1. Parallel Lines and Transversals
Lesson 4-2
Parallel Lines and Transversals

2. Ohio Content Standards:

3. Ohio Content Standards:
Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines.

4. Ohio Content Standards:
Recognize the angles formed and the relationship between the angles when two lines intersect and when parallel lines are cut by a transversal.

5. Transversal

6. A line that intersects two or more lines, each at different points.
Transversal
A line that intersects two or more lines, each at different points.

7. A line that intersects two or more lines, each at different points.
Transversal
A line that intersects two or more lines, each at different points. b 1 2 4 3 5 6 c 8 7 r

8. A line that intersects two or more lines, each at different points.
Transversal
A line that intersects two or more lines, each at different points. b 1 2
Interior Angles 4 3 5 6 c 8 7 r

9. A line that intersects two or more lines, each at different points.
Transversal
A line that intersects two or more lines, each at different points. b 1 2
Exterior Angles 4 3 5 6 c 8 7 r

10. Alternate Interior Angles
Transversal
A line that intersects two or more lines, each at different points. b 1 2
Alternate Interior Angles 4 3 5 6 c 8 7 r

11. Alternate Exterior Angles
Transversal
A line that intersects two or more lines, each at different points. b 1 2
Alternate Exterior Angles 4 3 5 6 c 8 7 r

12. Consecutive Interior Angles
Transversal
A line that intersects two or more lines, each at different points. b 1 2
Consecutive Interior Angles 4 3 5 6 c 8 7 r

13. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical.

14. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

15. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

16. Identify each pair of angles as alternate interior, alternate exterior, consecutive interior, or vertical. 1 2 3 4 5 6 7 8

17. Theorem 4-1 Alternate Interior Angles

18. Theorem 4-1 Alternate Interior Angles
If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

19. Theorem 4-1 Alternate Interior Angles
If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent. 4 3 5 6

20. Theorem 4-2 Consecutive Interior Angles

21. Theorem 4-2 Consecutive Interior Angles
If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

22. Theorem 4-2 Consecutive Interior Angles
If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. 4 3 5 6

23. Theorem 4-3 Alternate Exterior Angles

24. Theorem 4-3 Alternate Exterior Angles
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

25. Theorem 4-3 Alternate Exterior Angles
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent. 1 2 8 7

26. p q 7 r 5 1 2 3 6 4 8

27. t 6 7 A B 8 9 C D

28. k a 1
(3x+10)° 2
(4x-5)° b

29. Assignment: Pgs. 152-153 14-38 evens