Congruent and Similar Triangles Review

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their sides are in proportion.

Front

What does the SSS postulate state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS postulate state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the ASA postulate state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the AAS postulate state?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How can you determine if triangles are similar using the SAS criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the relationship between the angles in similar triangles?

Back

The corresponding angles in similar triangles are equal.

Front

What is the relationship between the sides in similar triangles?

Back

The lengths of the corresponding sides of similar triangles are proportional.