

1. 
Find the value of x in the similar polygons below. 





A. 
3 ft 
B. 
6 ft 


C. 
9 ft 
D. 
15 ft 


Hint 


2. 
Hakan is standing next to a building whose shadow is 15 feet long. If Hakan is 6 feet tall and is casting a shadow 2.5 feet long, how high is the building? 


A. 
24 ft 
B. 
36 ft 


C. 
40 ft 
D. 
30 ft 


Hint 


3. 
Find the value of m in the polygons below. 





A. 
1 
B. 
9.09 


C. 
0.25 
D. 
1.76 


Hint 


4. 
Pentagons P and Q are similar. The ratio of a side of pentagon P to a side of pentagon Q is 9:4. If the sides of Q are 8 units, 22 units, 16 units, 3 units, and 9 units, then what is the perimeter of P? 


A. 
58 units 
B. 
522 units 


C. 
130.5 units 
D. 
232 units 


Hint 


5. 
When you look into a mirror, you see light that has bounced off at the same angle that it hit the mirror, so your line of sight creates similar triangles, as illustrated below. Use the similar triangles below to find the height of the tree. 





A. 
50 ft 
B. 
40 ft 


C. 
62.5 ft 
D. 
14.4 ft 


Hint 


