SSS, SAS, AAS, ASA

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', which means 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 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 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', which means if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.

Front

What is 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

What is 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

What is 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 the corresponding non-included side of triangle B, then triangle A is congruent to triangle B (∆A ≅ ∆B).

Front

What is 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 corresponding included side of triangle B, then triangle A is congruent to triangle B (∆A ≅ ∆B).

Front

If ∆ABC ≅ ∆XYZ, what can be concluded about the sides?

Back

Front

What additional information is needed to prove triangles are congruent using SAS?

Back

You need to know that the included angle between the two sides is equal.