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 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 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 is the HL postulate?

Back

The Hypotenuse-Leg postulate states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is needed to prove triangles congruent by SAS?

Back

Two sides and the included angle must be known.

Front

What is needed to prove triangles congruent by ASA?

Back

Two angles and the included side must be known.

Front

What is needed to prove triangles congruent by AAS?

Back

Two angles and a non-included side must be known.

Front

What is needed to prove triangles congruent by SSS?

Back

All three sides must be known.