1. Lesson 7.4, Right Triangle Similarity

2. Altitude: Ex: Construct an altitude from each vertex: Altitude

3. A B B D Similar Right Triangles Similar Right Triangles: Ex: ∆ ~ ∆ ~ ∆ A B D C

4. Practice ∆ABC is split by altitude AD into two smaller right triangles. – Draw ∆ABD and ∆DBC – Write a similarity statement for the three right triangles A 12 5 B13 C

5. Side Proportions Side Proportions: Short = ShortMid = Mid Long LongLongLong, etc.

6. What is the length of each unknown side? Practice ABAB C C BD 6 8 x y 17 8

7. Complete each proportion: AC = BCAB = yAC = y BC xBCx x BD Practice ABAB C C BD

8. What is the value of each variable? A B D C 5 12x y z

9. Practice 

10. Lesson 7.5 – Proportions in Triangles

11. A B CD Side-Splitter and Angle-Bisector Theorems Side-Splitter Theorem: Angle Bisector Theorem: Q R S TU

12. Practice What is the value of each variable? A B C D E 3 4 8 x A B CD 5 9 8 y

13. What is the value of each variable? Q R S TU x 7 5 4 Practice A B CD 6 12 y 8

14. SOL Question #25

15. SOL Question

16. Chapter 8 Preparations Geometric Mean and Reducing Radicals

17. Geometric Mean Mean: Arithmetic Mean: Geometric Mean:

18. Practice What are the Arithmetic and Geometric means of each pair of numbers? 4 and 8 5 and 15

19. Practice What are the Arithmetic and Geometric means of each pair of numbers? 4 and 8 5 and 15 

20. Homework Lesson 7.4, #5 – 19 odd Lesson 7.5, #9 – 29 odd Lesson 8.1 #17 – 35 odd Lesson 8.2, #7 – 11 odd