Free Printable 4.5 Dilations

1.

Which of the following is a helpful way to find the scale factor?

a)

\frac{image}{preimage}

b)

$\frac{preimage}{image}$

c)

$image\cdot preimage$

d)

$preimage\cdot image$

2.

A dilation with scale factor greater than 1 creates a(n)

a)

Reduction

b)

Enlargement

3.

The point B(6, 9) is dilated by a scale factor of 1/3. What is the location of B'?

a)

B' (18, 27)

b)

B' (3, 2)

c)

B' (2, 3)

d)

B' (9, 6)

4.

The point C(4, 12) is dilated to the point A'(16,48). What is the scale factor?

a)

1/4

b)

4

c)

16

d)

1

5.

In the following dilation from figure A to figure B, what is the scale factor?

a)

1/3

b)

3

c)

1/2

d)

2

6.

In the following dilation from figure A to figure B, what is the scale factor?

a)

2/5

b)

3

c)

1/2

d)

5/2

7.

When dilating a figure, it is important to scale each side by the same amount.

a)

True

b)

False

8.

ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If AB=6, what is A'B'?

a)

2

b)

9

c)

18

d)

3

9.

ABCD is dilated by a scale factor of 1/2 to create A'B'C'D'. If A'B'=16, what is AB?

a)

14

b)

32

c)

8

d)

4

10.

Which of the following expressions describes the ratio of the areas of two dilated figures with scale factor k?

a)

$k^2$

b)

$k$

c)

1

d)

$\frac{1}{k}$

11.

Rectangle ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If the area of ABCD is 12, what is the area of A'B'C'D'?

a)

36

b)

4

c)

72

d)

108

12.

A dilation with scale factor between 0 and 1 creates a(n)

a)

Reduction

b)

Enlargement

13.

Triangle CDE is dilated about the origin by a scale factor of 2. What is the location of D'?

a)

(-2, 4)

b)

(-2, 2)

c)

(-1, 1)

d)

(4, -2)

4.5 Dilations

Total questions: 13

Worksheet time: 26mins

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