Triangle Congruence Postulates

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the RHL postulate?

Back

The RHL (Right Angle-Hypotenuse-Leg) postulate states that if a right triangle has one leg and the hypotenuse equal to the corresponding leg and hypotenuse of another right triangle, then the two triangles are congruent.

Front

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

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding 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 the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they 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 the two angles and the included side of one triangle are equal to the corresponding parts of the other triangle, they 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 the two angles and the corresponding non-included side of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

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

Back

Measure one leg and the hypotenuse of both right triangles. If the leg and hypotenuse of one triangle are equal to the corresponding parts of the other triangle, they are congruent.