Question

Describing Types of Dilations

There are distinct differences between an enlargement and a reduction with dilations. Describe the key facts about both types of dilations.

Answer 1

An enlargement has a scale factor greater than 1 and the image has a longer distance from the point of dilation than the pre-image. A reduction has a scale factor between 0 and 1, and shrinks on the coordinate plane.

Explanation:

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Answer 2

The key fact about the enlargement, scale factor > 1

The key fact about the reduction, 0 < scale factor < 1

Explanation:

Let us explain what is the dilation?

• A dilation is a transformation that changes the size of a figure.
• It can become larger or smaller, but the shape of the figure does not change.
• The scale factor measures how much larger or smaller the image will be
• If the scale factor greater than 1, then the image will be larger
• If the scale factor between 0 and 1, then the image will be smaller

Enlargement means the image of a figure after dilation is larger than the original figure

Reduction means the image of a figure after dilation is smaller than the original figure

The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1

The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1