Dilations

Front

What is a dilation?

Back

A transformation that alters the size of a figure, either enlarging or reducing it.

Front

What does a scale factor of 1/2 indicate in a dilation?

Back

The image will be half the size of the original figure.

Front

What is the result of dilating a point (2, 3) by a scale factor of 1/2?

Back

(1, 1.5)

Front

What is the term for the original figure before a transformation?

Back

Pre-image

Front

What is the term for the figure after a transformation?

Back

Image

Front

What scale factor results in a congruent image?

Back

A scale factor of 1.

Front

If a dilation has a scale factor greater than 1, what happens to the figure?

Back

The figure is enlarged.

Front

If a dilation has a scale factor less than 1 but greater than 0, what happens to the figure?

Back

The figure is reduced.

Front

What is the effect of a negative scale factor in a dilation?

Back

It reflects the figure across the origin and changes its size.

Front

How do you determine the coordinates of a dilated point?

Back

Multiply each coordinate of the original point by the scale factor.