Math 8: 2.1-4 Review, Dilations

Front

What happens when a dilation has a scale factor greater than one?

Back

The dilation is an enlargement.

Front

If AB = 12 and AC = 3, what is the scale factor when B is dilated with a center at A?

Back

The scale factor is ¼.

Front

What is the image of the point B (4,9) under a dilation with center at the origin and a scale factor of 2?

Back

B' (8, 18)

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides are proportional.

Front

To dilate point B from a center of P with a scale factor of ½, how do you move from P?

Back

Go up 2 and right 1.

Front

What is a dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original figure.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size.

Front

What is the relationship between the scale factor and the size of the image?

Back

A scale factor greater than 1 enlarges the image, while a scale factor less than 1 reduces it.