Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

What are corresponding sides?

Back

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

Front

What are corresponding angles?

Back

Corresponding angles are the angles in two or more similar figures that are in the same relative position.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are equal, the triangles are similar.

Front

What is the relationship between the side lengths of similar triangles?

Back

The side lengths of similar triangles are proportional to each other.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if their corresponding angles are equal or if their sides are in proportion.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

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

Back

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