Similarity

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.

Front

What are the criteria for triangle similarity?

Back

The criteria for triangle similarity are: SSS (Side-Side-Side), SAS (Side-Angle-Side), and AA (Angle-Angle).

Front

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

Back

The corresponding angles of similar figures are equal.

Front

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

Back

The corresponding sides of similar figures are proportional.

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.

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 sides.

Front

If triangle ABC is similar to triangle DEF, what can be said about the lengths of their sides?

Back

The lengths of the sides of triangle ABC are proportional to the lengths of the sides of triangle DEF.

Front

What does the AA criterion for similarity state?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS criterion for similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the SAS criterion for similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.