Free Printable Similarity and Enlargement

1.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

2.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

3.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

4.

Find the missing side length.

a)

9

b)

6

c)

8

d)

7

5.

Find missing side

a)

5

b)

7

c)

9

d)

11

6.

Solve for X.

a)

36

b)

27

c)

45

d)

56

7.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

8.

a)

12

b)

14

c)

16

d)

18

9.

a)

6

b)

4

c)

12

d)

16

10.

Find x.

a)

6.6

b)

4.5

c)

5.4

d)

7.2

11.

The pyramids are similar. The volume of pyramid A is $26\ cm^3$ . Find the volume of pyramid B.

a)

$3.25\ cm^3$

b)

$13\ cm^3$

c)

$52\ cm^3$

d)

$208\ cm^3$

12.

The rectangular prisms are similar. The volume of prism B is $1728\ cm^3$ . Find the volume of prism A.

a)

$8\ cm^3$

b)

$48\ cm^3$

c)

$10368\ cm^3$

d)

$157248\ cm^3$

13.

The boxes are similar. The volume of the small box is $500\ cm^3$ . Find the volume of the large box.

a)

$166.67\ cm^3$

b)

$1500\ cm^3$

c)

$5300\ cm^3$

d)

$13500\ cm^3$

14.

The hearts are similar. The area of heart B is $150\ cm^2$ . Find the area of heart A.

a)

$6\ cm^2$

b)

$30\ cm^2$

c)

$750\ cm^2$

d)

$3750\ cm^2$

15.

The pentagonal prisms are similar. The volume of prism A is $15\ cm^3$ . Find the volume of prism B.

a)

$0.56\ cm^3$

b)

$15\ cm^3$

c)

$405\ cm^3$

d)

$729\ cm^3$

16.

The triangles are similar. The area of triangle A is $20\ cm^2$ . Find the area of triangle B.

a)

$20\ cm^2$

b)

$40\ cm^2$

c)

$60\ cm^2$

d)

$80\ cm^2$

17.

What is the scale factor?

a)

4

b)

.25

c)

5

d)

6

18.

What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

19.

The solids are similar. Find the measure of side l.

a)

2 m

b)

1 m

c)

1.3 m

d)

3 m

20.

The solids are similar. Find the measure of side h.

a)

18 m

b)

12 m

c)

24 m

d)

32 m

21.

The solids are similar. Find the missing dimension(s).

a)

6 ft

b)

9 ft

c)

4.2 ft

d)

8 ft

22.

Retype the following statement including your answer for angle 3

Angle 3 measures _ degrees

4 lines

23.

True or False, side AB is similar to side YZ

a)

True

b)

False

24.

The scale factor of the triangles is _.

(a)

25.

The dilation was a _ because _

HINT: Shrink or Enlargement?

4 lines

26.

XZ is _ cm long.

HINT: Type only the number

(a)

27.

What is the scale factor of these similar shapes?

a)

10

b)

7

c)

9

d)

11

28.

The 2 shapes are similar. Find x.

a)

2

b)

7

c)

0.5

d)

12

29.

If two figures are similar, their volume ratio is ...?

a)

the same

b)

squared

c)

cubed

d)

three times as much

30.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

31.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

32.

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

a)

2/3

b)

64/729

c)

512/19683

d)

8/27

33.

If all of the dimensions of a triangular prism decreased by 1/3, how much would the volume decrease by?

a)

1/27

b)

1/9

c)

1/3

d)

1/6

34.

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

a)

3/1

b)

3240/120

c)

27/1

d)

9/1

35.

Two spheres have a scale factor ratio of 1:3. The smaller sphere has a surface area of 16 ft²_. Find the surface area of the larger sphere.

a)

48 ft²

b)

144 ft²

c)

432 ft²

d)

32 ft²

36.

Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?

a)

4:7

b)

16:49

c)

64:343

d)

12:21

37.

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

a)

100:9

b)

10:3

c)

500:13.5

d)

100:2.7

38.

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

a)

4:13.5

b)

2:9

c)

2:3

d)

4:13.5

39.

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

a)

2:3

b)

4:9

c)

3:4

d)

64:729

40.

The surface area of the larger prism is 2560 m². Find the surface area of the smaller prism.

a)

921.6 m²

b)

1536 m²

c)

553 m²

d)

7111.1 m²

41.

What is the ratio of the surface areas from large to small.

a)

49/16

b)

7/4

c)

42/24

d)

10/8

42.

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the ratio of their areas?

a)

4:5

b)

4:9

c)

2:3

d)

5:9

43.

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

a)

1:6

b)

1:8

c)

1:2

d)

1:4

44.

The ratio of the volumes of two spheres is 64:27. What is the ratio of the lengths of the radii of these two spheres?

a)

2:1

b)

3:4

c)

4:3

d)

4:9

45.

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

a)

3/1

b)

3240/120

c)

27/1

d)

9/1

Similarity and Enlargement

Total questions: 45

Worksheet time: 2hrs 33mins

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