1. 8-5 Proportions in Triangles
Wed, October 3

2. Agenda
Warm Up
8-5 Notes
Homework

3. Warm Up

5. Proof of Side-Splitter Theorem

6. Converse of side-splitter
If a line intersects two sides of a triangle and divides those sides proportionally, then the line is parallel to the other side.

7. Example
Solve for x

9. Find the value of x:

11. PROVING THE PYTHAGOREAN THM WITH ~ triangles
The Pythagorean Theorem states that in a right triangle, a2 + b2 = c2 We can prove this theorem using similar triangles ABC, CBX, and ACX

12. PROVING THE PYTHAGOREAN THM WITH ~ triangles
Since corresponding parts of similar triangles are proportional, or And or _ or Substituting a² for cx, we get c²=a²+b². Which is what we were trying to prove.

13. Homework
Worksheet Study for Quiz!