Study Guide:
Integration: Geometry
Similar Triangles

 

Triangle RST is similar to triangle XYZ. The angles of the two triangles are congruent. They are called corresponding angles. The sides opposite corresponding angles are called corresponding sides. Proportions can be used to find the missing measures of similar traingles.

 

 

Example: Find the height of the apartment building.

The apartment building is 84 meters high.

 

 

Refer to the triangles shown at the right to answer the next three questions.

1. Which triangles are similar?

 

2. Name corresponding angles of the similar triangles?

 

3. Name corresponding sides of the similar triangles?

Let's Practice: Solve the following problem.

4. Bruce likes to amuse his brother by shining a flashlight on is hand and making a shadow on the wall. How far is it from the flashlight to the wall?

4.3 feet