Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What is the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is constant.

Front

What is true about the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

What is the term for sides that match in similar figures?

Back

Corresponding Sides.

Front

How do you find the missing side in similar figures?

Back

Use the proportion of corresponding sides to set up a ratio and solve for the missing side.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?

Back

The ratio of their areas is (AB/DE)² = (4/8)² = 1/4.

Front

What is the relationship between the perimeters of similar figures?

Back

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

Front

If two similar rectangles have a length ratio of 3:5, what is the ratio of their areas?

Back

The ratio of their areas is (3/5)² = 9/25.

Front

What does it mean if two figures are not similar?

Back

It means they do not have the same shape or their corresponding angles are not equal.