Triangle Congruence SSS,SAS,ASA,AAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is SSA in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have three equal sides, what can we conclude?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two equal sides and the included angle is equal, what can we conclude?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have two equal angles and the included side is equal, what can we conclude?

Back

The triangles are congruent by the ASA criterion.

Front

If two triangles have two equal angles and a non-included side is equal, what can we conclude?

Back

The triangles are congruent by the AAS criterion.

Front

Can two triangles be congruent if they satisfy SSA?

Back

Not necessarily; SSA does not guarantee congruence and can lead to ambiguous cases.