Math 8: Unit 2 Dilations

Front

What is a dilation in geometry?

Back

A transformation that produces an image that is the same shape as the original, but is a different size.

Front

What does the scale factor in a dilation represent?

Back

The ratio of the size of the image to the size of the original figure.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement.

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction.

Front

What is the scale factor if a figure is enlarged to twice its size?

Back

2.

Front

What is the scale factor if a figure is reduced to half its size?

Back

1/2.

Front

True or False: A dilation always produces a congruent figure.

Back

False.

Front

What scale factor results in a congruent image?

Back

A scale factor of 1.

Front

What happens to the angles of a figure during a dilation?

Back

The angles remain the same.

Front

What happens to the lengths of the sides of a figure during a dilation?

Back

The lengths are multiplied by the scale factor.