Proportions and Similar Figures

Front

What is a proportion?

Back

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

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

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

Back

The lengths of their corresponding sides are proportional.

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

Solve for x: 1/2 = x/8

Back

x = 4

Front

If two angles are equal, what can be said about the triangles they belong to?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

Solve for x: 3/10 = x/20

Back

x = 6