DILATIONS UNIT QUIZ

Scale Factor of ½ is __________________ .

• Reduction
• Enlargement

Scale Factor of 5 is _________________ .

• Reduction
• Enlargement

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

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(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

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

• ½
• ¼
• 4
• 2

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

A dilation produces a similar figure

• True
• False

A dilation produces a congruent figure

• True

• False

Does the image show a Dilation?

• Yes

• No

Answer explanation

The image and preimage were different sizes, implying that the preimage was dilated to result in the image.

What are the coordinates if the figure is dilated by 2?

• A'(1,2); B'(2,3); and C'(3,1)

• A'(2,4); B'(4,6); and C'(6,2)

• A'(2,8); B'(4,12); and C'(6,4)

• A'(4,8); B'(8,12); and C'(12,4)

Answer explanation

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

Remember to multiply both x and y by 2 for each point:

A(2, 4) --> A' (4, 8)
B(4, 6) --> B' (8, 12)
C(6, 2) --> C' (12, 4)