1. HONORS GEOMETRY 7.5: Parts of Similar Triangles

2. Do Now:

3. Homework Questions? Comments? Confusions? ASK ASK ASK!

4. Reminders: What is an altitude? What are angle bisectors? What is a median?

5. Triangle Parts: Altitude: From vertices to the opposite side at a right angle Angle Bisector: From vertices to the opposite side in such a way where the line cuts the angle of the triangle in half. Medians: From vertices to the midpoint of the opposite sides.

6. Theorem #1:

7. Theorem #2:

8. Theorem #3:

9. Example One Find x. Justify your answer. What theorem proves that these two triangles are similar?

10. Example Two: Find x. Justify your answer

11. Example Two: Find x. Justify your answer.

12. Example Three: Find x. Justify your answer.

13. You Try! Find AD – Justify your answer

14. Triangle Angle Bisector Theorem: An angle bisector in a triangle separates the opposite side into two segments that are proportional to the lengths of the other two sides.

15. Example Four: Find x

16. Example Five: Find y:

17. Example Six:

18. You Try!

19. Example Six: What can we say about this triangle?

20. Practice Problems Try some on your own/in your table groups As always if you have any questions, don’t hesitate to ask!

21. Exit Ticket: Find x– why can you claim this?