SSS, SAS, AAS, ASA

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', which means 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', which means 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', which means that if two angles and a non-included side of one triangle are equal to two angles and a 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', which means 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

State the criteria for triangle congruence using SSS.

Back

If three sides of triangle A are equal to three sides of triangle B, then triangle A is congruent to triangle B (A ≅ B).

Front

State the criteria for triangle congruence using SAS.

Back

If two sides and the included angle of triangle A are equal to two sides and the included angle of triangle B, then triangle A is congruent to triangle B (A ≅ B).

Front

State the criteria for triangle congruence using AAS.

Back

If two angles and a non-included side of triangle A are equal to two angles and a non-included side of triangle B, then triangle A is congruent to triangle B (A ≅ B).

Front

State the criteria for triangle congruence using ASA.

Back

If two angles and the included side of triangle A are equal to two angles and the included side of triangle B, then triangle A is congruent to triangle B (A ≅ B).

Front

If triangle ABC is congruent to triangle DEF by SAS, what can be said about their corresponding sides and angles?

Back

The corresponding sides AB = DE, AC = DF, and the included angle ∠A = ∠D.

Front

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle (SAS) or two angles and a side (AAS or ASA) must be known to determine congruence.