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Worksheets

Similar Figures

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.
A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?
a)
5 ft
b)
10 ft
c)
15 ft
d)
12 ft
2.
There are 2 similar rectangles made up of square tiles.  Rectangle A measures 8 tiles wide and 10 tiles long.  The side length of each tile is one unit. What is the perimeter if rectangle B of the width measures 12 tiles?
a)
15 units
b)
54 units
c)
30 units
d)
52 units
3.
Kameron, who is 4.5 ft tall, is outside during recess.  He casts a 9 ft shadow.  If the closest tree to Kameron is 18 ft tall, how long is the tree’s shadow?
a)
36 ft
b)
9 ft
c)
27 ft
d)
32 ft
4.
An Olympic size swimming pool has a length of 50m and a width of 25m.  Elizabeth wants to build a similar pool.  If her pool has a width of 6.25m, what is the length of the pool?
a)
12.5 cm
b)
3.125 cm
c)
100 cm
d)
25 cm
5.
Jeremiah would like to create a similar photo of his parents for their anniversary.  The original photo has a length of 3 ft and a width of 2 ft.  If the similar photo has a width of
3 in
, what is the length of the photo?
a)
4.5 in
b)
6 in
c)
5 in
d)
5.5 in
6.
Two squares are similar.  The ratio of the width of square J to the width of square M is 4:5.  If the width of square J is 28 in, what is the perimeter of square M?
a)
35 in
b)
22.4 in
c)
32 in
d)
140 in
7.
Jacqueline is creating a scale drawing of her kitchen for the remodel.  In the drawing, the length of the kitchen is 7.2 in and the width is 2.3 in.  If the actual length of the kitchen is 36 ft, what is the width?
a)
11.5 ft
b)
12 ft
c)
6.3 
d)
14 ft
8.
A model car is 10 inches long.  Using a scale of 2 in:3 ft, how long is the actual car?
a)
15 ft
b)
5 ft
c)
20 ft
d)
13 ft
9.
A photographer is taking a photo of a statue of Paul Bunyan, the legendary giant lumberjack.  The photographer is 6 ft tall and casts a shadow of 1.5 ft.  If the statue casts a shadow of 4.5 m, how tall is the statue?
a)
18 m
b)
16 m
c)
2 m
d)
24 m
10.
A gate casts a shadow that is 5 ft long.  A nearby cactus is 9 ft tall and casts a shadow that is 15 ft long.  What is the height of the gate?
a)
27 ft
b)
3 ft
c)
12 ft
d)
45 ft
11.
Katie went to Kinko’s Copy Center to reduce her rectangular design that is 32 in wide and 40.5 in long.  If the new width is 6.4 in, what is the length of the reduced design?
a)
8.1 in
b)
4.2 in
c)
5 in
d)
9 in
12.
Triangle S and triangle T are similar.  The base of triangle S measures 0.6 in. with a height of 0.8 in.  If the base of triangle T measures 3.9 in., what is the height?
a)
5.2 in.
b)
3.7 in
c)
1.9 in
d)
2.3 in