Dilations on the Coordinate Plane

Front

What is a dilation in the coordinate plane?

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 in a dilation?

Back

It indicates an enlargement of the figure.

Tags

CCSS.8.G.A.3

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1 in a dilation?

Back

The figure remains unchanged; it is congruent to the original.

Tags

CCSS.8.G.A.3

Front

True or False: A dilation always produces a congruent figure.

Back

False; a dilation changes the size of the figure.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2, resulting in an enlargement.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

In a dilation, what remains unchanged?

Back

The shape and angles of the figure remain unchanged.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original figure and the dilated figure?

Back

The dilated figure is similar to the original figure.

Tags

CCSS.8.G.A.3

Front

How do you determine the scale factor in a dilation?

Back

Divide the length of a side of the dilated figure by the corresponding side of the original figure.

Tags

CCSS.8.G.A.3