

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





A. 
4.5 m 
B. 
7.5 m 


C. 
8 m 
D. 
6 m 


Hint 


2. 
Triangles M and N are similar. The ratio of a side of triangle N to a corresponding side of triangle M is 4:3. The lengths of triangle M are 12 inches, 18 inches, and 24 inches. Find the perimeter of triangle N. 


A. 
76 in. 
B. 
72 in. 


C. 
84 in. 
D. 
96 in. 


Hint 


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





A. 
9.09 
B. 
1 


C. 
1.76 
D. 
0.25 


Hint 


4. 
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. 
62.5 ft 
B. 
40 ft 


C. 
50 ft 
D. 
14.4 ft 


Hint 


5. 
The Sears Tower in Chicago, Illinois is 1,454 feet tall. Its twin antennas reach an additional 253 feet. If a souvenir shop sells a replica of the Sears Tower that is 9 inches tall, how tall are the twin antennas on the replica? 


A. 
0.13 ft 
B. 
0.15 ft 


C. 
0.09 ft 
D. 
1.57 ft 


Hint 


