Dilations and Scale Factor Practice

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 if a dilation is an enlargement?

Back

An enlargement means the image is larger than the original figure, indicated by a scale factor greater than 1.

Front

What does it mean if a dilation is a reduction?

Back

A reduction means the image is smaller than the original figure, indicated by a scale factor less than 1.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If the scale factor is 2, what happens to the dimensions of the figure?

Back

If the scale factor is 2, each dimension of the figure is doubled.

Front

If the scale factor is 1/2, what happens to the dimensions of the figure?

Back

If the scale factor is 1/2, each dimension of the figure is halved.

Front

What are similar figures?

Back

Similar figures have the same shape but different sizes; their corresponding angles are equal and their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the rule for dilating a point (x, y) by a scale factor of k?

Back

The rule for dilating a point (x, y) by a scale factor of k is (x, y) → (kx, ky).

Front

What is the scale factor if the original triangle has sides of length 3 and the image triangle has sides of length 6?

Back

The scale factor is 2, since 6 divided by 3 equals 2.