1. Honors Geometry Section 8. 5
Honors Geometry Section Indirect Measurement & Additional Similarity Theorems

2. Similar triangles can be used to find the height of objects.

5. Proportional Altitudes Theorem If two triangles are similar, then corresponding altitudes are proportional to a pair of corresponding sides.

6. Let’s think about why this theorem is true. Assume , why is ?

7. Proportional Medians Theorem If two triangles are similar, then corresponding medians are proportional to a pair of corresponding sides.

8. Proportional Angle Bisectors Theorem
Proportional Angle Bisectors Theorem If two triangles are similar, then corresponding angle bisectors are proportional to a pair of corresponding sides.

9. The triangles shown are similar. Solve for x.

10. The triangles shown are similar. Solve for x.

11. Proportional Segments Theorem An angle bisector of a triangle divides the opposite side into segments which are proportional to the remaining two sides.

12. Solve for y.