Congruent Triangles

Front

What are congruent triangles?

Back

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

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 definition of corresponding parts of congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

Measure two sides and the included angle of both triangles; if they are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

Measure two angles and the included side of both triangles; if they are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the AAS postulate?

Back

Measure two angles and a non-included side of both triangles; if they are equal, the triangles are congruent.