Scale factor and dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In geometry, it is used to determine how much a figure is enlarged or reduced.

Tags

CCSS.7.G.A.1

Front

What happens to a figure when a scale factor of 1/2 is applied?

Back

The figure is reduced to half its original size.

Tags

CCSS.8.G.A.3

Front

What is the result of a dilation?

Back

A dilation produces a similar figure that maintains the same shape but may differ in size.

Tags

CCSS.8.G.A.3

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Tags

CCSS.8.G.A.3

Front

What are similar figures?

Back

Similar figures have the same shape but different sizes.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

Each dimension of the figure is multiplied by 3.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of the image of point A(3,3) after a dilation by a scale factor of 3?

Back

A'(9,9).

Tags

CCSS.8.G.A.3

Front

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

Back

It enlarges the figure.

Tags

CCSS.8.G.A.3

Front

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

Back

It reduces the figure.

Tags

CCSS.8.G.A.3

Front

In a dilation, if the center of dilation is at the origin, how are the coordinates of the image calculated?

Back

By multiplying each coordinate of the original figure by the scale factor.

Tags

CCSS.8.G.A.3