1. 3.2. ANGLES AND PARALLEL LINES Honors Geometry

2. Do Now True or False? If False, explain why.  <1 and <2 are supplementary  <1 and <7 are corresponding angles  <7 and <2 are alternate interior angles  <3 and <5 are consecutive interior angles  < 7 and <6 are congruent.

3. Homework Questions? Comments? Confusions?

4. Important Note: Important note: These relationships only work if you have PARALLEL lines cut by a transversal!

5. Postulate Corresponding Angles Postulate: If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

6. Pause: Postulate vs. theorem. Difference!?!?!?

7. Example One: Find the measure of each angle if m<5 = 72.

8. Example Two: Find x. What’s the one thing missing from the picture?

9. You Try! If m<a is 5x + 12 and m<e is x + 80, find a, b, c, d, e, f, g, and h.

10. Alternate Interior Angles Theorem

11. How do we know?

12. Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of consecutive interior angles are supplementary. Ex: < 3 and < 2 are supplementary < 6 and < 7 are supplementary

13. Alternate Exterior Angles Theorem

14. Example Three:

15. Example Four: Find x

16. You Try! Find x and y and y

17. Example Five:

18. Example Six:

19. Example Seven:

20. You Try! Find the measure of angles 1, 2, 3 and 4.

21. Perpendicular Transversal Theorem a b t

22. Example Eight:

23. You Try! Find x

24. Practice Problems Try some on your own/in you table groups As always if you have any questions please don’t hesitate to ask me and/or your peers at your table! They are your greatest resource!

25. Exit Ticket: If m<3=4y+30 and m<7=7y+6, Find y