Practice with Similarity
Numerical Problems
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Answer the following questions dealing with similar figures.

1.

Which of the following triangles are always similar?
a.  right triangles
b.  isosceles triangles
c.  equilateral triangles

Choose:

a  
b
c 

 

 

2.

The sides of a triangle are 5, 6 and 10.  Find the length of the longest side of a similar triangle whose shortest side is 15.

Choose:

10
  15
 18
30

 

 

3.

Similar triangles are exactly the same shape and size.

Choose:

True
False

 

 

4.

In the diagram, is parallel to .  
BD = 4, DA = 6
and EC = 8.  Find BC to the nearest tenth.

Choose:

4.3
5.3
8.3
13.3

 

 

5.

 

 Find BC.

Choose:

4 
4.5 
13.5 
17

 

 

6.

Two ladders are leaned against a wall such that they make the same angle with the ground.  The 10' ladder reaches 8' up the wall.  How much further up the wall does the 18' ladder reach?

Choose:

4.5' 
6.4' 
14.4' 
22.4'

 

 

7.

 
At a certain time of the day, the shadow of a 5' boy is 8' long.  The shadow of a tree at this same time is 28' long.  How tall is the tree?

Choose:

8.5' 
16' 
17.5' 
20'