Dilations Intro

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original by increasing or decreasing its size, using a center of dilation and a scale factor.

Front

What does the term 'scale factor' refer to in dilations?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What is an enlargement in the context of dilations?

Back

An enlargement is a type of dilation where the image is larger than the original figure.

Front

What is a reduction in the context of dilations?

Back

A reduction is a type of dilation where the image is smaller than the original figure.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

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 during a dilation.

Front

How can you determine if an image has been dilated?

Back

You can determine if an image has been dilated by comparing the size and shape of the original figure to the image; if they are similar but not congruent, a dilation has occurred.

Front

What does it mean for two figures to be 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 relationship between the original figure and its dilated image?

Back

The dilated image is proportional to the original figure, maintaining the same shape but differing in size based on the scale factor.