1. Corresponding Parts of Similar Triangles
If triangles are similar are other things similar as well

2. Proportional Parts Conjecture
If two triangles are similar, then the length of the corresponding altitudes, medians, and angle bisectors are proportional to the lengths of the corresponding sides. This shows similar Triangles

3. Medians with same scale factor
Angles bisectors with same scale factor

4. Altitudes with
same scale factor

5. Example

6. Angle Bisector and Opposite Side Conjecture
A bisector of an angle in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.

7. Example 2

8. Homework
Page odd Set up proportions and solve for missing measurement