Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor greater than 1 indicate?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

It indicates a reduction of the figure.

Front

What is the scale factor in a dilation?

Back

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

Front

If the scale factor is 2.5, what type of dilation is it?

Back

Enlargement.

Front

True or False: A dilation can only be an enlargement.

Back

False. A dilation can be either an enlargement or a reduction.

Front

What happens to the coordinates of a point when it is dilated?

Back

The coordinates are multiplied by the scale factor.

Front

If point A (8, 12) is dilated to point A' (2, 3), what is the scale factor?

Back

¼.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

How do you determine if a dilation is a reduction or enlargement?

Back

By comparing the scale factor: if it's greater than 1, it's an enlargement; if it's less than 1, it's a reduction.