Solving Proportions

Front

What is a proportion?

Back

Front

How do you solve a proportion?

Back

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find an equivalent equation.

Front

Back

x = 9, found by cross-multiplying: 3 * 12 = 4 * x.

Front

What does it mean for two figures to be similar?

Back

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

Front

If two triangles are similar, how do you find a missing side?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Front

What is the formula for finding a missing side in similar triangles?

Back

Front

Back

m = 90, found by cross-multiplying: 9 * 100 = 10 * m.

Front

Back

x = \frac{1}{2}, found by cross-multiplying and solving the equation.

Front

Back

x = 5, found by cross-multiplying: 6 * 20 = 24 * x.