4-8 Similar Figures and Proportions

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What must be true for two polygons to be similar?

Back

All corresponding angles are congruent, and all corresponding sides are proportional.

Front

Are the following figures similar? Why or why not?

Back

No, corresponding sides are NOT in proportion.

Front

What does it mean for sides to be proportional?

Back

It means that the ratios of the lengths of corresponding sides are equal.

Front

What is the relationship between corresponding angles in similar figures?

Back

All corresponding angles in similar figures are congruent (equal).

Front

If two figures have congruent angles, are they always similar?

Back

No, they must also have corresponding sides that are in proportion.

Front

Solve the proportion: 4/8 = x/16. What is x?

Back

x = 8.

Front

True or False: All angles in similar figures are congruent.

Back

True.

Front

What is an example of similar figures?

Back

Two triangles with the same angle measures but different side lengths.

Front

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

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.