Solving Proportional Equations

Front

What is a proportional equation?

Back

A proportional equation is an equation that states two ratios are equal, often expressed in the form a/b = c/d.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

The corresponding sides of similar figures are proportional.

Front

Solve for x: 3/4 = x/12.

Back

x = 9.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the value of ad and bc?

Back

If a/b = c/d, then ad = bc.

Front

Solve for x: 5/x = 10/20.

Back

x = 10.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor of two similar triangles is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is (2^2):(3^2) = 4:9.

Front

Solve for x: 8/x = 12/18.

Back

x = 12.