Triangle Congruence

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 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 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 all three sides of another triangle.

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which is not a valid criterion for triangle congruence because it only proves that triangles are similar, not congruent.

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence because it can lead to ambiguous cases.

Front

If two triangles have two angles and the included side equal, what can be concluded?

Back

The triangles are congruent by the ASA criterion.

Front

If two triangles have two sides and the included angle equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS criterion.

Front

Can two triangles be congruent if they have two angles and a non-included side equal?

Back

No, this is the SSA condition, which does not guarantee congruence.

Front

What is the AAS criterion 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.