Triangle Congruence Postulates

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate stating 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, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate used specifically for right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence and is known as the 'Ambiguous Case'.

Front

What is the criteria for triangle congruence using SSS?

Back

For SSS, all three sides of one triangle must be equal to all three sides of another triangle.

Front

What is the criteria for triangle congruence using SAS?

Back

For SAS, two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

What is the criteria for triangle congruence using AAS?

Back

For AAS, two angles and a non-included side of one triangle must be equal to two angles and the corresponding non-included side of another triangle.

Front

What is the criteria for triangle congruence using ASA?

Back

For ASA, two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.