Properties of Proportions

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

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Tags

CCSS.6.RP.A.3A

Front

Find a ratio that is equivalent to 2:5.

Back

6:15

Tags

CCSS.6.RP.A.3A

Front

What is the cross-multiplication property of proportions?

Back

If a/b = c/d, then a*d = b*c.

Front

Is the statement 'If a/b = c/d, then a + b = c + d' true or false?

Back

False.

Tags

CCSS.5.NF.B.5B

Front

Back

Tags

CCSS.7.RP.A.3

Front

Back

x = 4.

Tags

CCSS.7.RP.A.3

Front

What is the property of proportions that states if you add the same number to both terms of a ratio, the new ratio is equivalent?

Back

This is known as the Addition Property of Proportions.

Front

Back

The means (b and c) are equal, and the extremes (a and d) are equal.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2