Dilations

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.

Tags

CCSS.8.G.A.3

Front

What does a scale factor greater than 1 indicate?

Back

It indicates an enlargement of the figure.

Tags

CCSS.8.G.A.3

Front

What does a scale factor less than 1 indicate?

Back

It indicates a reduction of the figure.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a point (4, 6) is dilated to (8, 12)?

Back

The scale factor is 2.

Tags

CCSS.8.G.A.3

Front

If the scale factor is k=1, what type of transformation occurs?

Back

An isometry, meaning the figure remains the same size.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a point (10, 15) is dilated to (5, 7.5)?

Back

The scale factor is 1/2.

Tags

CCSS.8.G.A.3

Front

How do you determine the scale factor from two points?

Back

Divide the coordinates of the image point by the corresponding coordinates of the original point.

Tags

CCSS.7.G.A.1

Front

What is the effect of a scale factor of 1/4 on a figure?

Back

The figure will be reduced to one-fourth of its original size.

Tags

CCSS.8.G.A.3

Front

What is an example of a dilation with a scale factor of 5/4?

Back

A point (2, 3) dilated to (2.5, 3.75) is an enlargement.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 3?

Back

Each coordinate is multiplied by 3.

Tags

CCSS.8.G.A.3