1. Section 8-1: Geometric Mean When the means of a proportion are the same number, that number is called the geometric mean of the extremes.

2. Section 8-1: Geometric Mean

3. Examples: Find the geometric mean between: ◦ 5 and 45 ◦ 12 and 15

4. Section 8-1: Geometric Mean

5. Examples: Identify the similar triangles

6. Section 8-1: Geometric Mean Examples: Find the proportions: ◦ Shorter leg : longer leg ◦ Hypotenuse : shorter leg ◦ Hypotenuse : longer leg

7. Section 8-1: Geometric Mean Everything you did on the previous page involved geometric means.

8. Section 8-1: Geometric Mean

9. Examples: Find x, y, and z.

10. Section 8-1: Geometric Mean Example:

11. Section 8-1: Geometric Mean Homework: Page 541-543, #9 – 37 odd