Dilations and Scale Factor Practice

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 center point and a scale factor.

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 1/2, what type of transformation is it?

Back

It is a reduction.

Tags

CCSS.8.G.A.3

Front

What is the image of the point B(-10,-6) under a dilation with a scale factor of 1/2?

Back

The image is (-5,-3).

Tags

CCSS.8.G.A.3

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is between 0 and 1, it is a reduction.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if the original figure is multiplied by 2?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

What happens to the coordinates of a point (x,y) under a dilation with scale factor k?

Back

The new coordinates will be (kx, ky).

Tags

CCSS.8.G.A.3

Front

If a dilation has a scale factor of 4.5, what type of transformation is it?

Back

It is an enlargement.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure remains unchanged.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor of 3, what happens to its area?

Back

The area is multiplied by the square of the scale factor, so it increases by a factor of 9.

Tags

CCSS.7.G.A.1