8th: Dilations

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

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

• True
• False

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

• True
• False

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 of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

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

• ½
• ¼
• 4
• 2

What scale factor was used to produce the image?

• 2
• -2
• ¹/₂
• 1

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

A scale factor of 1/2 reduces a figure.

• True
• False

A dilation produces a congruent figure

• True

• False

Dilate the figure by a scale factor of 3. 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)