Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to the original.

Tags

CCSS.7.G.A.1

Front

How do you find the scale factor between two similar figures?

Back

To find the scale factor, divide the length of a side of the scaled figure by the length of the corresponding side of the original figure.

Tags

CCSS.7.G.A.1

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same. It can either enlarge or reduce the figure.

Tags

CCSS.8.G.A.3

Front

If a triangle has a scale factor of 2, what happens to its area?

Back

If the scale factor is 2, the area of the triangle increases by a factor of 2² = 4.

Tags

CCSS.7.G.A.1

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

If the scale factor is 3, how does the perimeter of a figure change?

Back

The perimeter of the figure will also be multiplied by the scale factor, so it will be 3 times larger.

Tags

CCSS.7.G.A.1

Front

What is the relationship between scale factor and corresponding sides of similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Tags

CCSS.7.G.A.1

Front

How do you determine if two figures are scaled copies of each other?

Back

Two figures are scaled copies if they have the same shape and their corresponding sides are proportional.

Tags

CCSS.4.G.A.3

Front

What is the scale factor if the original figure has a side length of 4 and the scaled figure has a side length of 8?

Back

The scale factor is 8/4 = 2.

Tags

CCSS.7.G.A.1