Dilations

Front

What is a dilation in geometry?

Back

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

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

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilations, it determines how much the figure is enlarged or reduced.

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure is enlarged.

Front

If a scale factor is less than 1, what happens to the figure?

Back

The figure is reduced.

Front

What is the 'image' in a dilation?

Back

The 'image' is the resulting figure after the dilation has been applied.

Front

What is the 'pre-image' in a dilation?

Back

The 'pre-image' is the original figure before the dilation is applied.

Front

If a figure has a side length of 5 units and is dilated with a scale factor of 3, what is the length of the corresponding side in the image?

Back

15 units.

Front

True or False: A dilation can only enlarge a figure.

Back

False. A dilation can either enlarge or reduce a figure.

Front

True or False: A scale factor of 1/2 reduces a figure.

Back

True.