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More Practice With Similar Figures

Total questions: 25

Worksheet time: 2hrs 57mins

Name
Class
Date
1.
a)
ABC and DEF
b)
ABC and GHI
c)
DEF and GHI
d)
None
2.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
3.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
4.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
5.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
6.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
7.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
8.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 4
c)
x = 13
d)
x = 36
9.
The pair of figures is similar. Find the missing side.
a)
x = 22
b)
x = 2
c)
x = 16
d)
x = 8
10.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
11.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
12.
The pair of figures is similar. Find the missing side.
a)
x = 3
b)
x = 8
c)
x = 6
d)
x = 5
13.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 5 in., how wide should the similar photo be?
a)
3 in
b)
3.3 in.
c)
4 in
d)
1 in
14.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
15.
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 120 inches wide, how long is the mural?
a)
96 inches
b)
124 inches
c)
600 inches
d)
150 inches
16.
A photo is 12 in. wide by 18 in. tall. If the width is scaled down to 9 inches, how tall should the similar photo be? 
a)
15 in
b)
0.67
c)
13.5 in
d)
2
17.
The Henry Ford Museum in Dearborn, Michigan hosts a theater with one of the world’s largest screens, which is 60 ft x 84 ft. If a classroom projection screen were changed to be in direct proportion with the screen at the Henry Ford Museum, the dimensions would be 5 ft x _____ ft. 
a)
12 
b)
3.6
c)
29
d)
7
18.
Until 1929, United States currency measured 3.13 in. by 7.42 in. The current size is 2.61 in. by 6.14 in. Are the bills similar? 
a)
Yes
b)
No
19.
Rob enlarged a 4 in. wide by 7 in. tall picture into a banner. If the banner is 3.5 ft wide, how tall is it? 
a)
6.05 ft
b)
6.125 ft
c)
7 ft
d)
7.125 ft
20.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in
21.
An architect is drawing a house and decides that 1.5 inches = 2 feet in his drawing. In real life the living room has a length of 17 feet. How long will the length of the room be on his blueprint (drawing)?
a)
12.75 inches
b)
15.5 inches
c)
22.67 inches
d)
51 inches
22.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
23.
What is the scale factor from triangle ABC to triangle DEF?
a)
2
b)
1.5
c)
0.67
d)
0.5
24.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
25.
On the scale drawing of a museum, the scale is 0.5 inch = 10 feet. Find the actual length of the Renaissance gallery if it 4.25 inches in the drawing. 
a)
85 feet
b)
8,500 feet
c)
10 feet 
d)
21 feet