1. Problem Solving in geom. w/ proportions

2. Proportion Properties If then If then

3. Example True or False If,then true FALSE! Should be a 4!!!

4. Slide #4 Using Properties of Proportions In the diagram AB = BD AC CE Find the length of BD. Do you get the fact that AB ≈ AC?

5. Slide #5 Solution AB = AC BD CE 16 = 20 x 10 20x = 160 x = 8 Given Substitute Cross Product Property Simplify So, the length of BD is 8.

6. Example: in the diagram, find LQ. M N Q P L 13 6 4 15 LQ = 14

7. LISTEN UP! The Geometric mean between 2 positive #’s a & b is x where Find the geometric mean of 4 & 9. 36=x 2 6=x

8. Example: Geometric Mean between 3 and 27.

9. Examples of Proportions D CB A E 16 30 10