Similar Figures

Front

Angles in the same position are called

Back

Corresponding Angles

Front

A figure that has been dilated has corresponding sides that are

Back

proportional

Front

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

Back

The ratios of their corresponding sides are equal.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles are equal.

Front

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

Back

4:9 (the ratio of the areas is the square of the ratio of the sides).

Front

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. What is the length on the blueprint?

Back

14 in

Front

Are the following figures similar? Why or why not?

Back

No, the ratios of the corresponding sides are not equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 3:2.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size.

Front

If two angles are congruent, what can be said about the figures they belong to?

Back

The figures may be similar.