Dilations

Front

What is a dilation?

Back

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

Front

What does it mean if a figure is similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are proportional.

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 a scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Front

If a scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Front

What happens to the lengths of a figure when it is dilated by a scale factor of 2?

Back

All lengths of the figure are doubled.

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3

Front

If a figure is dilated by a scale factor of 1.5, what happens to its size?

Back

The figure is enlarged and will be bigger than the original.

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

True or False: A dilation can produce a figure that is not similar to the original figure.

Back

False.