1. 7.5 Parts of Similar Triangles
Assignment 8: 7.5 WB Pg. 92 #1 – 7 all

2. Special Segments of Similar Triangles: Theorem 7.8
Similar triangles have corresponding altitudes proportional to the corresponding sides.

3. Special Segments of Similar Triangles: Theorem 7.9
Similar triangles have corresponding angle bisectors proportional to the corresponding sides.

4. Special Segments of Similar Triangles: Theorem 7.10
Similar triangles have corresponding medians proportional to the corresponding sides.

5. Examples
1. Triangle JLM ~ triangle QST. KM and RT are altitudes of the respective triangles. Find RT if JL = 12, QS = 8, and KM = 5

6. Example 1 Continued
Write the statement of proportionality, be sure to include the altitudes given.
Fill in given information and solve

7. Example 2
Triangle EFD ~ Triangle JKI. EG and JL are medians of their respective triangles. Find JL if EF = 36, EG = 18, and JK = 56.

8. Theorem 7.11: Angle Bisector Theorem
An angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides