Unit 3 Similarity Review

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If two triangles are similar, what can we say about their angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 ft, what can we say about side DE?

Back

Side DE will be proportional to side AB, depending on the scale factor of the similarity.

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 the scale factor of two similar triangles is 2:3, and the length of a side in the smaller triangle is 6 ft, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 9 ft.

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

If the side lengths of two similar triangles are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

What is a proportional relationship in the context of similar figures?

Back

A proportional relationship means that the ratios of the lengths of corresponding sides of similar figures are equal.

Front

Which statement is NOT true about similar figures?

Back

Similar figures always have the same size.