

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





A. 
2.7 
B. 
0.83 


C. 
19.683 
D. 
15 


Hint 


2. 
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. 
58 units 


C. 
232 units 
D. 
522 units 


Hint 


3. 
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. 
62.5 ft 


C. 
40 ft 
D. 
14.4 ft 


Hint 


4. 
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. 
0.09 ft 
B. 
0.13 ft 


C. 
1.57 ft 
D. 
0.15 ft 


Hint 


5. 
The tallest tree in the United States is a Coast Redwood in Jedidiah Smith State Park in California. It is 321 feet tall. Suppose you are 5 feet 8 inches tall and cast a shadow that is 2 feet at a certain time of day. About how long is the tree’s shadow at the same time of day? 


A. 
910 ft 
B. 
128 ft 


C. 
113 ft 
D. 
118 ft 


Hint 


