Free Printable Dilations on the Coordinate Plane

1.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

2.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

3.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

4.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

a)

(2,4.5)

b)

(-8,-18)

c)

(8,18)

d)

(9,4)

5.

Dilate triangle ABC by a scale factor of 3.

Click on the location of point A'.

A

B

C

D

E

6.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

7.

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. (a) A square is dilated by a scale factor of 2. (b)

Choose from the below words

(x, y) → (x + 2, y + 2)

(x, y) → (−x, −y)

$\left(x,y\right)\longrightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

$(x,y)→(2x,2y)$

8.

Does the image show a Dilation?

a)

Yes

b)

No

9.

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. (a) A square is dilated by a scale factor of 2. (b)

Choose from the below words

(x, y) → (x + 2, y + 2)

(x, y) → (−x, −y)

$\left(x,y\right)\longrightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

$(x,y)→(2x,2y)$

10.

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

a)

$\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$

b)

$\left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x+2,\ y+2\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x-\frac{1}{2},\ y-\frac{1}{2}\right)$

1

2

1)

2)

11.

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. A triangle is dilated by a scale factor of 1/2. (a) A square is dilated by a scale factor of 2. (b)

Choose from the below words

(x, y) → (x + 2, y + 2)

(x, y) → (−x, −y)

$\left(x,y\right)longrightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

$(x,y)→(2x,2y)$

12.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

13.

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)

14.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

15.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

16.

Does the image show a dilation?

a)

Yes

b)

No

17.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

18.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

19.

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

a)

True

b)

False

20.

Which algebraic expression represents this dilation?

a)

$\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

b)

$\left(2x,\ 2y\right)$

c)

$\left(x+2,\ y+2\right)$

d)

$\left(2x,\ 4y\right)$

Dilations on the Coordinate Plane

Total questions: 20

Worksheet time: 20mins

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