

1. 
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. 
72 in. 
B. 
84 in. 


C. 
96 in. 
D. 
76 in. 


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. 
40 ft 
B. 
36 ft 


C. 
24 ft 
D. 
30 ft 


Hint 


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





A. 
1 
B. 
9.09 


C. 
1.76 
D. 
0.25 


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. 
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. 
128 ft 
B. 
118 ft 


C. 
910 ft 
D. 
113 ft 


Hint 


