Proving Triangles Congruent

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 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 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

Is AAA a valid rule for proving triangles congruent?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

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

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

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have two angles equal and a non-included side equal, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Front

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

Back

The triangles are congruent by the ASA criterion.

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent.

Front

What is the importance of the included angle in SAS?

Back

The included angle is crucial in SAS because it must be between the two sides that are being compared for congruence.