1. PARALLEL LINES
and
TRANSVERSALS

2. A transversal is a line that intersects two or more lines.
Parallel Lines are two or more lines that do not intersect.
A transversal is a line that intersects two or more lines.

3. 1 3 2 4 5 6 8 7

4. 1  5 1 3 2 4 5 6 8 7

5. 1  5
3  6 1 3 2 4 5 6 8 7

6. 1  5
3  6
2  8 1 3 2 4 5 6 8 7

7. When the lines are parallel and cut by a transversal, then the
corresponding angles are congruent
1  5
3  6
2  8
4  7 1 3 2 4 5 6 8 7

8. 1 3 2 4 5 6 8 7

9. 5  4 1 3 2 4 5 6 8 7

10. 5  4 1 3 2 4 5 6 8 7

11. When the lines are parallel and cut by a transversal, then the
alternate interior angles are congruent
5  4
2  6 1 3 2 4 5 6 8 7

12. 1 3 2 4 5 6 8 7

13. 1  7 1 3 2 4 5 6 8 7

14. 1  7 1 3 2 4 5 6 8 7

15. When the lines are parallel and cut by a transversal, then the
alternate exterior angles are congruent
1  7
3  8 1 3 2 4 5 6 8 7

16. 3  2 1 3 2 4 5 6 8 7

17. 3  2
6  8 1 3 2 4 5 6 8 7

18. 3  2
6  8
1  4 1 3 2 4 5 6 8 7

19. vertical angles are always congruent 3  2 6  8 1  4 1 3
5  7 2 4 5 6 8 7

20. 1. Corresponding angles are congruent.
When lines are parallel and cut by a transversal
1. Corresponding angles are congruent.
2. Alternate interior angles are congruent.
3. Alternate exterior angles are congruent.
4. Vertical angles are always congruent.

21. 1 3 2 4 5 6 8 7

22. 2 is supplementary to 5
180º 5 2

23. 1 3 2 4 5 6 8 7

24. When the lines are parallel and cut by a transversal,
4 is supplementary to 6
When the lines are parallel and cut by a transversal,
then same side interior angles are supplementary 6 4
180º

25. 1 3 2 4 5 6 8 7

26. 1 is supplementary to 8
180º 1 8

27. 1 3 2 4 5 6 8 7

28. When the lines are parallel and cut by a transversal,
3 is supplementary to 7
When the lines are parallel and cut by a transversal,
then same side exterior angles are congruent 3 7
180º

29. 1. Same side interior angles are supplementary.
When lines are parallel and cut by a transversal
1. Same side interior angles are supplementary.
2. Same side exterior angles are supplementary.
3. Linear pairs are always supplementary.