wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Scale Drawing and Similar Figures Review

Total questions: 104

Worksheet time: 5hrs 7mins

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
All angles in similar figures are congruent.  
a)
True
b)
False
3.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
4.
Find missing side
a)
5
b)
7
c)
9
d)
11
5.
Find y.
a)
144
b)
18
c)
72
d)
12
6.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
7.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
8.
On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
9.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
10.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
11.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
12.
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
13.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
14.
All angles in similar figures are congruent.  
a)
True
b)
False
15.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

16.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
17.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
18.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1.75 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

a)

200 miles

b)

175 miles

c)

100 miles

d)

125 miles

19.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
20.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
21.
All angles in similar figures are congruent.  
a)
True
b)
False
22.
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.
23.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
24.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
25.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
26.
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
27.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
28.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
29.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
30.
Find the missing area. 
a)
0
b)
12
c)
24
d)
30
31.
All angles in similar figures are congruent.  
a)
True
b)
False
32.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
33.
Find missing side
a)
5
b)
7
c)
9
d)
11
34.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
35.
Gwen scans a photo that is 4 in. wide by 6 in. long into her computer. If she scales the length down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
36.

If the parallelogram were enlarged using a scale factor of 3, what is the perimeter of the enlarged parallelogram?

a)

80 cm

b)

120 cm

c)

200 cm

d)

240 cm

37.

A scale drawing for a new school flag is shown below. The scale used is 0.5 cm = 6 in. What are the dimensions of the actual flag?

a)

48in ×72in48in\ \times72in

b)

18in×32in18in\times32in

c)

19in×15in19in\times15in

d)

28in×62in28in\times62in

38.

The diagram below shows two similar figures. Which statement is true?

a)

ADRU=BCTU\frac{AD}{RU}=\frac{BC}{TU}

b)

BCCD=RSST\frac{BC}{CD}=\frac{RS}{ST}

c)

CDRS=TUAB\frac{CD}{RS}=\frac{TU}{AB}

d)

ABRS=ADRU\frac{AB}{RS}=\frac{AD}{RU}

39.

The diagram below shows two similar rectangles. What is the length of PS in Rectangle PQRS?

a)

15 ft

b)

18 ft

c)

20 ft

d)

25 ft

40.

The scale on a blueprint is 1 cm for every 2 meters. If the width of an arch is 5 meters, then how wide should it be drawn on the blueprints?

a)

2.5 cm

b)

2.5 m

c)

10 cm

d)

0.2 cm

41.

A student drew a similar triangle to the one below using a scale factor of 3. What is the perimeter of the student’s triangle?

a)

45 in

b)

36 in

c)

18 in

d)

99 in

42.

Jeremy made a scale model of the Santa Maria, one of the ships Christopher Columbus used for his first voyage to North America. To make the model, Jeremy used a scale of 1 inch= 2.5 meters. If the actual Santa Maria was about 20 meters long, how long was the model that Jeremy made?

a)

6 in

b)

8 in

c)

10 in

d)

50 in

43.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
44.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
45.
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
46.
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
47.
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
48.
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
49.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
50.
What is true about the angles of similar figures?
a)
Corresponding angles are proportional.
b)
Complementary angles are proportional.
c)
Corresponding angles are congruent.
d)
Complementary angles are congruent.
51.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
52.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
53.
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.
54.
Two shapes that are similar are also congruent
a)
True
b)
False
55.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
56.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
57.
Find missing side
a)
5
b)
7
c)
9
d)
11
58.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
59.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
60.

Mrs. Ahern is making a scale drawing of her office. The drawing is 15 inches long and 12 inches wide. The scale of the drawing is one inch equals five feet. What would be the area of her office in real life?

a)

135 ft2

b)

4,5000 ft2

c)

75 ft2

d)

60ft2

61.
Find missing side
a)
5
b)
7
c)
9
d)
11
62.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
63.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
64.
Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
65.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
66.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
67.
The pair of figures are similar. Find the missing side.
a)
x = 11
b)
x = 4.5
c)
x = 5
d)
x =4
68.
The polygons are similar. Find x.
a)
x = 2
b)
x = 6
c)
x = 4 
d)
x = 8
69.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
70.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
71.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
72.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

73.

Which proportion could be used to solve for x?

a)

A

b)

B

c)

C

d)

D

74.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
75.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
76.

What angle is corresponding to angle C?

a)

F

b)

D

c)

E

d)

A

77.

Which proportion can be used to solve for the missing side?

a)
b)
c)
d)
78.

A Mexican flag is 63 inches long and 36 inches wide. Is this image similar? (11 in. long, 8.5 in. wide)

a)

Yes, they are similar.

b)

No, they are not.

79.
Find the perimeter of the large triangle. (First find the missing side length)
a)
24
b)
36
c)
12
d)
54
80.
a)
Similar Figures are the same shape
b)
Similar Figures are the same size
c)
The corresponding angles of thesimilar figures are congruent.
d)
The corresponding sides of thesimilar figures are proportional.
81.
a)
A
b)
B
c)
C
d)
D
82.
a)
A
b)
B
c)
C
d)
D
83.
a)
A
b)
B
c)
C
d)
D
84.
a)
A
b)
B
c)
C
d)
D
85.
For the pair of similar figures, find the length of each side marked with a variable.
a)
1.8 in
b)
2.1 in
c)
9.8 in
d)
9.3 in
86.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
87.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
88.

Are the following similar? Why or why not?

a)

Yes. The ratios of the corresponding sides are equal.

b)

No. The ratios of the corresponding sides are not equal.

89.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
90.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
91.
Are the triangles similar?
a)
Yes
b)
No
92.
Are the triangles similar?
a)
Yes
b)
No
93.

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

a)
b)
c)
d)
94.

Mrs. Tinsley used similar triangles to make a design. Which statement about the triangles in the design must be true?

a)

They are the same exact size.

b)

They are the same size but different shapes.

c)

They have corresponding angles that are congruent.

d)

They have corresponding sides that are congruent.

95.

Similar figures: Select all that apply

a)

Same shape

b)

Corresponding angles are congruent

c)

Ratio of corresponding sides are proportional

d)

Corresponding angles are greater/smaller

96.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
97.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
98.

Triangles KAT and DOG, angle A corresponds with angle...?

a)

D

b)

O

c)

G

d)

T

99.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

100.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

101.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

102.
3. BUILDING Curtis wants to build a model of a 180-meter tall building. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be? Round your answer to the nearest tenth.
a)
77.1m
b)
7m
c)
7.71m
d)
15.7m
103.
2. MODELS A model ship is built to a scale of 1 centimeter : 5 meters. The length of the model is 30 centimeters. What is the actual length of the ship? 
a)
125 m
b)
150 m
c)
175 m 
d)
6 m
104.
1. CARS A scale drawing of an automobile has a scale of 1 inch = 0.5 foot. The actual width of the car is 8 feet. What is the width on the scale drawing?
a)
12
b)
18
c)
16
d)
24

Similar Resources on Wayground

Probability 1

100 questions

Probability 1

quiz

Worksheet

•

7th - 9th Grade

100 Question 7th Grade Math Review (TN)

100 questions

100 Question 7th Grade Math Review (TN)

quiz

Worksheet

•

7th Grade

Semester review 7th grade Math

100 questions

Semester review 7th grade Math

quiz

Worksheet

•

7th Grade

ACC 7th Grade Final Review pt 2

100 questions

ACC 7th Grade Final Review pt 2

quiz

Worksheet

•

7th Grade

Math 7 Expressions TEST REVIEW

106 questions

Math 7 Expressions TEST REVIEW

quiz

Worksheet

•

7th Grade

3D Formulas Practice Test

103 questions

3D Formulas Practice Test

quiz

Worksheet

•

6th - 8th Grade

Time Tables Quiz

100 questions

Time Tables Quiz

quiz

Worksheet

•

6th - 8th Grade

Persamaan Linear Satu Variabel

100 questions

Persamaan Linear Satu Variabel

quiz

Worksheet

•

7th Grade - University