

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





A. 
8 m 
B. 
7.5 m 


C. 
6 m 
D. 
4.5 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. 
84 in. 
B. 
96 in. 


C. 
76 in. 
D. 
72 in. 


Hint 


3. 
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. 
36 ft 
B. 
24 ft 


C. 
40 ft 
D. 
30 ft 


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. 
130.5 units 
B. 
232 units 


C. 
522 units 
D. 
58 units 


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. 
0.15 ft 
B. 
0.13 ft 


C. 
1.57 ft 
D. 
0.09 ft 


Hint 


