SSS, SAS, ASA & AAS Flashcard

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 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 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 a corresponding non-included side of another triangle, the triangles are congruent.

Front

Which postulate cannot be used to prove triangles congruent?

Back

SSA (Side-Side-Angle) cannot be used to prove triangles congruent.

Front

Can two triangles be proven congruent if only two sides are known?

Back

No, two sides alone (SSA) do not guarantee triangle congruence.

Front

What is the criteria for using SSS to prove triangle congruence?

Back

All three corresponding sides of the triangles must be equal.

Front

What is the criteria for using SAS to prove triangle congruence?

Back

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 using ASA to prove triangle congruence?

Back

Two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.

Front

What is the criteria for using AAS to prove triangle congruence?

Back

Two angles and a non-included side of one triangle must be equal to two angles and a corresponding non-included side of another triangle.