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. More Corresponding Info
Relating Perimeter, Area and Volume Remember Main shapes and how to calculate each of these Triangle Square Rectangle

9. Example

10. Continued

11. Triangles Relationships
Given these two triangles are similar
Find the scale factor – simplify fraction
Find the perimeter – simplify fraction
Find the area – simplify fraction
What do you notice

12. Relationships between SF – P – A -V
Scale factor = Ratio of Perimeter Scale factor squared = Ratio of Areas Scale factor cubed= Ratio of Volumes Think of the unit in the measurement and that is what you do to the scale factor.

13. Example
If we know the scale factor of two figures is ¾ and the area of the smaller figure is 36 cm square, what is the area of the larger figure.

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