

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





A. 
7.5 m 
B. 
8 m 


C. 
4.5 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. 
84 in. 
B. 
76 in. 


C. 
96 in. 
D. 
72 in. 


Hint 


3. 
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. 
522 units 
B. 
232 units 


C. 
130.5 units 
D. 
58 units 


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. 
14.4 ft 
B. 
50 ft 


C. 
40 ft 
D. 
62.5 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. 
113 ft 
B. 
128 ft 


C. 
910 ft 
D. 
118 ft 


Hint 


