Scale Factor and Proportions

Front

What is a scale factor?

Back

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

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 larger figure by the length of the corresponding side of the smaller figure.

Tags

CCSS.7.G.A.1

Front

If the scale factor from ΔDEF to ΔABC is 1/2, what does this mean?

Back

It means that each side of ΔDEF is half the length of the corresponding side of ΔABC.

Tags

CCSS.8.G.A.3

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

Front

If 3/4 = x/16, what is the value of x?

Back

x = 12 (cross-multiply: 3 * 16 = 4 * x).

Tags

CCSS.7.RP.A.3

Front

What is the relationship between scale factors and proportions?

Back

Scale factors can be expressed as proportions, showing the relationship between corresponding sides of similar figures.

Tags

CCSS.7.G.A.1

Front

If a triangle has sides of 6, 8, and 10, and is scaled by a factor of 2, what are the new side lengths?

Back

The new side lengths are 12, 16, and 20.

Tags

CCSS.7.G.A.1

Front

What does it mean to 'solve for x' in a proportion?

Back

It means to find the value of x that makes the proportion true.

Tags

CCSS.7.RP.A.2B

Front

If 5/x = 10/20, what is the value of x?

Back

x = 10 (cross-multiply: 5 * 20 = 10 * x).

Tags

CCSS.7.RP.A.3