Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Dilation Rules

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Dilation rules use ______________ to change the ___________ of a shape. 

a)

addition; location

b)

division; direction

c)

subtraction; orientation

d)

multiplication; size

2.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

3.

(x, y) -> (2x, 2y) 
What is the coefficient 2 mean?

a)

plot 2 to the right and 2 up

b)

scale factor is 2 creating a new figure half the size

c)

scale factor is 2 making a figure twice the 
original

d)

I don't understand this question : ( 

4.

If the scale factor is greater than one, the new figure will be

a)

reduction

b)

enlargement

c)

scale

d)

not proportional

5.

If the scale factor is less than one(typically a proper fraction), the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

6.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

7.

If a dilation produces a congruent figure, then the scale factor was equal to _____

a)

1/2

b)

2

c)

10

d)

1

8.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

9.

Is this an enlargement or a reduction?

a)

Enlargement

b)

Reduction

10.

Is this an enlargement or a reduction?

a)

Enlargement

b)

Reduction

11.

Which of the following algebraic rules represents an enlargement?

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)

12.

Enlargement or reduction?  Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

13.

Which of the following algebraic rules represents a dilation? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (3x, 2y)

c)

(x, y) --> (x - 3, y + 5)

d)

(x, y) --> (0.5x, 0.5y)

e)

(x, y) --> (3x, 0.5y)

14.

Is this an enlargement or a reduction?

a)

Enlargement

b)

Reduction

15.

Which of the following algebraic rules represents an enlargement? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)