Practice Page

Math A

Practice with Similar Figures 

 

Try the following problems:  

 

1.

In triangle ABC, angle A = 90º and angle B = 35º.  In triangle DEF, angle E = 35º and angle F = 55º.  Are the triangles similar?  Explain your answer.

 

 

2.

Given angle A and angle A' are 59º.

a.)  Are the triangles similar?  Why or why not?

b.)  What is the ratio of similitude?

c.)  Find AC.

 

 

 

 

3.

Rectangle ABCD is similar to rectangle A'B'C'D'.  If AB = 4, BC = 8, B'C' is 6 units longer than A'B', find B'C'.

 

 

4.

A vertical flagpole casts a shadow 12 feet long at the same time that a nearby vertical post 8 feet casts a shadow 3 feet long.  Find the height of the flagpole.  Explain your answer. 

 

 

5.

The corresponding sides of two similar hexagons are 32 and 8.  What is the ratio of similitude for these hexagons?

 

 


Caldwell