Triangle Congruence Postulates

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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 AAS stand for in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate that applies to 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, then the triangles are congruent.

Front

Can AAA prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

What is the significance of the SSS postulate?

Back

The SSS postulate is significant because it provides a method to prove triangle congruence based solely on the lengths of the sides, without needing to know the angles.

Front

What is the significance of the SAS postulate?

Back

The SAS postulate is significant because it allows for the determination of triangle congruence by knowing two sides and the angle between them.

Front

What is the significance of the ASA postulate?

Back

The ASA postulate is significant because it allows for the determination of triangle congruence by knowing two angles and the side between them.

Front

What is the significance of the AAS postulate?

Back

The AAS postulate is significant because it allows for the determination of triangle congruence by knowing two angles and a non-included side.