Solving Proportions-Similar Figures

Front

What is a proportion?

Back

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

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are proportional.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the missing side of similar figures?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

What is the formula for setting up a proportion?

Back

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 and side DE is 8, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What is the cross-multiplication method used for?

Back

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

Front

Back

x = 2.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are in proportion.

Front

If two figures are not similar, what can be said about their corresponding sides?

Back

The corresponding sides of non-similar figures are not proportional.