solving proportions/similar figures

Front

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 terms and then solve for the variable.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

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 triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2.

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 angles are equal.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the lengths of two corresponding sides of similar triangles are 5 cm and 15 cm, what is the ratio of their areas?

Back

The ratio of their areas is 1:9.

Front

What is the relationship between the lengths of corresponding sides and the areas of similar figures?

Back

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

Front

If triangle PQR is similar to triangle XYZ and the length of side PQ is 6 cm, what is the length of side XY if the scale factor is 3?

Back

The length of side XY is 18 cm.