Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates the ratio of the lengths of the new figure to the corresponding lengths of the original figure.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

What mathematical operation is used to apply the scale factor in a dilation?

Back

Multiplication is used to apply the scale factor in a dilation.

Front

What is the center of dilation?

Back

The center of dilation is a 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

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor if the original length is 4 and the new length is 2?

Back

The scale factor is 1/2.

Front

What is the scale factor if the original length is 3 and the new length is 9?

Back

The scale factor is 3.

Front

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

Back

True.