Triangle Congruence

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

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

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg.

Front

What is the Angle-Angle-Side (AAS) Congruence Postulate?

Back

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

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

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

Front

What is the Hypotenuse-Leg (HL) Congruence Postulate?

Back

If the hypotenuse and one leg of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

How can you prove triangles are congruent using the SSS Postulate?

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the difference between AAS and ASA?

Back

AAS involves two angles and a non-included side, while ASA involves two angles and the included side.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared; it must be congruent for the triangles to be congruent.