4.5 Dilations

The point A (8, 12) was dilated to become point A' (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

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)

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

• (3, 6)

• (1.5, 3)

• (6, 12)

• (12, 6)

The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?

• Similar figure that is an enlargement

• Similar figure that is a reduction

• Congruent figure

• None

What scale factor was used to produce the image?

• 2
• -2
• ¹/₂
• 1

Dilate Point B by a scale factor of 1/2

• (1.5,-4)
• (-1.5,1)
• (-1,-1.5)
• (-2,-2)

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

• addition 
• subtraction 
• multiplication 
• division 

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

• True
• False

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise