Dilations and Scale Factor

Front

What is a dilation?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It can be either an enlargement or a reduction.

Front

What is the scale factor?

Back

The scale factor is the number you multiply by the sides of a figure to create a similar figure.

Front

What happens if the scale factor is greater than one?

Back

If the scale factor is greater than one, the new figure will be an enlargement.

Front

True or False: A dilation produces a congruent figure.

Back

False. A dilation produces a similar figure, not a congruent figure.

Front

What is the ratio of a length of the new figure to the corresponding length on the original figure called?

Back

The ratio is called the scale factor.

Front

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

Back

If the scale factor is less than one, the transformation is a reduction.

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 find the scale factor between two similar figures?

Back

To find the scale factor, divide the length of a side of the new figure by the length of the corresponding side of the original figure.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size; it is neither enlarged nor reduced.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.