Solving proportions

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What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the variable.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

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x = 21.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If a segment is 3 units long and is dilated by a factor of 5, what is the new length?

Back

The new length is 15 units.

Front

What does it mean to dilate a point?

Back

To dilate a point means to change its position based on a scale factor relative to a center point.

Front

If point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

The scale factor is ¼.

Front

What is the relationship between ratios in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.

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