Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor?

Back

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

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What happens to the angles of a shape during a dilation?

Back

The angles remain congruent.

Front

How do you find the scale factor between two similar shapes?

Back

Divide the length of a side of the larger shape by the corresponding side of the smaller shape.

Front

What is the scale factor from a shape with a side length of 4 to a shape with a side length of 8?

Back

The scale factor is 2.

Front

In a dilation, what mathematical operation is used with the scale factor?

Back

Multiplication is used with the scale factor.

Front

What is the scale factor from ΔABC to ΔDEF if the corresponding sides are 3 and 6?

Back

The scale factor is 2.

Front

If two polygons are similar, what can be said about their corresponding sides?

Back

The corresponding sides are in proportion.