Finding 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 an object is compared to its original size.

Tags

CCSS.7.G.A.1

Front

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

Back

To find the scale factor, divide the length of a side of the image by the length of the corresponding side of the original shape.

Tags

CCSS.7.G.A.1

Front

If the original shape has a side length of 4 cm and the image has a side length of 12 cm, what is the scale factor?

Back

3

Tags

CCSS.7.G.A.1

Front

If the original shape has a side length of 10 cm and the image has a side length of 5 cm, what is the scale factor?

Back

0.5 or 1/2

Tags

CCSS.7.G.A.1

Front

What does a scale factor of 2 mean?

Back

A scale factor of 2 means the image is twice as large as the original shape.

Tags

CCSS.7.G.A.1

Front

What does a scale factor of 1/3 mean?

Back

A scale factor of 1/3 means the image is one-third the size of the original shape.

Tags

CCSS.7.G.A.1

Front

If the scale factor is 3, how does the area of the image compare to the area of the original?

Back

The area of the image is 3^2 = 9 times larger than the area of the original.

Tags

CCSS.7.G.A.1

Front

If the scale factor is 1/2, how does the perimeter of the image compare to the perimeter of the original?

Back

The perimeter of the image is 1/2 the perimeter of the original.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the original shape has a side length of 8 cm and the image has a side length of 4 cm?

Back

0.5 or 1/2

Tags

CCSS.7.G.A.1

Front

If a shape is enlarged by a scale factor of 4, what happens to its dimensions?

Back

All dimensions of the shape are multiplied by 4.

Tags

CCSS.8.G.A.3