Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A transformation that produces a figure similar to the original by enlarging or reducing it based on a scale factor.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

Is a dilation a congruence transformation?

Back

No, a dilation is not a congruence transformation because it does not preserve size.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If the scale factor is 1/2, what type of transformation occurs?

Back

A reduction occurs.

Front

If the original figure has a side length of 4 and the scale factor is 2, what is the length of the corresponding side in the dilated figure?

Back

The length of the corresponding side in the dilated figure is 8.

Front

True or False: A dilation produces a congruent figure.

Back

False.

Front

True or False: A dilation produces a similar figure.

Back

True.