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Worksheets

Dilations/Scale Factor/Corresponding Sides

Total questions: 30

Worksheet time: 25mins

Name
Class
Date
1.

If a triangle with side length 5 cm is dilated to a triangle with side length 15 cm, what is the scale factor of the dilation?

a)

2

b)

3

c)

0.5

d)

1.5

2.

A rectangle is dilated by a scale factor of 0.40.4 . What type of dilation is this?

a)

Enlargement

b)

Reduction

c)

Translation

d)

Reflection

3.

A figure is enlarged by a scale factor of 2.52.5 . Which statement is true?

a)

The image is smaller than the original

b)

The image is the same size as the original

c)

The image is larger than the original

d)

The image is not similar to the original

4.

If a square with side length 8 cm is reduced to a square with side length 2 cm, what is the scale factor?

a)

4

b)

0.25

c)

0.5

d)

2

5.

Which of the following best describes a dilation?

a)

A transformation that changes the size but not the shape of a figure

b)

A transformation that changes the shape but not the size

c)

A transformation that flips a figure over a line

d)

A transformation that slides a figure

6.

A pentagon is dilated by a scale factor of 1.01.0 . What happens to the pentagon?

a)

It becomes larger

b)

It becomes smaller

c)

It stays the same size

d)

It becomes a different shape

7.

If a dilation has a scale factor greater than 11 , what type of transformation is it?

a)

Reduction

b)

Enlargement

c)

Translation

d)

Rotation

8.

A rectangle has a length of 10 cm and a width of 4 cm. After a dilation with a scale factor of 0.50.5 , what are the new dimensions?

a)

20 cm by 8 cm

b)

5 cm by 2 cm

c)

10 cm by 4 cm

d)

2 cm by 1 cm

9.

Which of the following is NOT true about similar figures after a dilation?

a)

Corresponding angles are equal

b)

Corresponding sides are proportional

c)

The figures have the same area

d)

The figures have the same shape

10.

A hexagon is dilated by a scale factor of 0.80.8 . What type of dilation is this?

a)

Enlargement

b)

Reduction

c)

Reflection

d)

Rotation

11.

If a figure is dilated by a scale factor of 1.51.5 , what happens to the side lengths?

a)

They are multiplied by 1.51.5

b)

They are divided by 1.51.5

c)

They stay the same

d)

They are squared

12.

A triangle has sides of 3 cm, 4 cm, and 5 cm. After a dilation, the sides are 6 cm, 8 cm, and 10 cm. What is the scale factor?

a)

2

b)

1.5

c)

0.5

d)

3

13.

Which of the following scale factors would result in a reduction?

a)

2

b)

1

c)

0.75

d)

3

14.

A rectangle is enlarged by a scale factor of 44 . If the original width is 2 cm, what is the width of the image?

a)

8 cm

b)

6 cm

c)

4 cm

d)

2 cm

15.

Which statement is true about dilations?

a)

Dilations always produce congruent figures

b)

Dilations always produce similar figures

c)

Dilations always produce different shapes

d)

Dilations never change the size of a figure

16.

A figure is reduced by a scale factor of 0.20.2 . If the original side is 15 cm, what is the new side length?

a)

3 cm

b)

7.5 cm

c)

30 cm

d)

0.2 cm

17.

Which of the following is an example of an enlargement?

a)

Scale factor 0.60.6

b)

Scale factor 11

c)

Scale factor 1.21.2

d)

Scale factor 0.30.3

18.

A rectangle with length 12 cm is dilated to a rectangle with length 3 cm. What is the scale factor?

a)

4

b)

0.25

c)

0.5

d)

3

19.

What is the scale factor?

(The large rectangle is the original.)

a)

1

b)

2

c)

1/2

d)

-2

20.

what is the scale factor?

(The small triangle is the original.)

a)

1

b)

3

c)

1/3

d)

8

21.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
22.

If two figures are similar, the corresponding sides are ______________.

a)

Equal

b)

Congruent

c)

Proportional

d)

None of the above

23.

If two figures are similar their angles are______.

a)

Proportional

b)

Congruent

c)

supplementary

d)

complementary

24.

Two objects that are the same shape but not the same size are _______.

a)

Vertical

b)

Congruent

c)

Complementary

d)

Similar

25.

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

a)

x=1

b)

x= 9

c)

x= 3

d)

x=5

26.
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.
27.
The term "congruent" means ...
a)
matching
b)
similar
c)
corresponding
d)
equal
28.
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
29.
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.
30.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides