Proving Triangles Congruent

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

Which triangle congruence theorem cannot be used to prove triangles congruent?

Back

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

Front

If two triangles have two angles and a non-included side congruent, which theorem applies?

Back

AAS (Angle-Angle-Side) applies.

Front

What is the missing information needed to prove triangles congruent using SAS?

Back

The included angle between the two sides must be congruent.

Front

What is the reason for triangle congruence if all three sides are equal?

Back

SSS (Side-Side-Side) is the reason for triangle congruence.

Front

If two triangles have two sides and the included angle congruent, which theorem applies?

Back

SAS (Side-Angle-Side) applies.

Front

What is the relationship between congruent triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal.