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

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction
• enlargement
• scale factor
• center of dilation

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

• ½
• ¼
• 4
• 2

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)

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

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

Find the measure of x:

• 6
• 24
• 33
• 36

Under a dilation, which scale factor will result in a congruent image?

• -2
• 0
• 1
• ¹/₂