Ratios-Proportions-Geometric Mean-Similar Figures

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

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

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CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

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CCSS.7.RP.A.2C

Front

What is the geometric mean?

Back

The geometric mean of two numbers a and b is the square root of their product, √(a*b).

Front

How do you find the geometric mean of 4 and 16?

Back

The geometric mean of 4 and 16 is √(4*16) = √64 = 8.

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size; their corresponding angles are equal and corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of the lengths of their corresponding sides are equal.

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CCSS.HSG.SRT.A.2

Front

What is the boy:girl ratio in a class with 15 boys and 20 girls?

Back

The boy:girl ratio is 15:20, which simplifies to 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express the ratio 35:14 in simplest form?

Back

The simplest form of the ratio 35:14 is 5:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2