1. 7.5 Parts of similar triangles
Special Segments of Similar Triangles

2. Review Triangle Similarity PostulatesAA
SAS
SSS
Proportionality—similar figures are proportional
Same scale factor applies to all corresponding sides
Scale Factor—new length / old length
Side Splitter Theorem (Theorem 7.5)
Midsegment Theorem

3. Review Scale Factor with Scale Ella
Let’s watch this short video to review scale factor:
Complete the worksheet
Be prepared to share out your responses!

4. 7.5 Parts of Similar Triangles
If two triangles are similar some of their special segments are also proportional
Recall these Special Triangle Segments:
Altitude
Angle bisector
Median
page 501

5. Scale factor = new length / old length
We can use this to help us set up problems with special segments.
Example:

6. Try another:

7. Example:

8. Theorem 7.11 Triangle Angle Bisector

9. More Practice: