Geometry 5.6 ASA & AAS Congruence & Proofs

Front

What does ASA stand for in geometry?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

What does AAS stand for in geometry?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence.

Front

What is the ASA Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS Congruence Theorem?

Back

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, then the triangles are congruent.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between the two angles, while AAS does not require the side to be included.

Front

What does SAS stand for in geometry?

Back

SAS stands for Side-Angle-Side, another criterion for triangle congruence.

Front

What is the SAS Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does SSS stand for in geometry?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence.

Front

What is the SSS Congruence Postulate?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

Can two triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to determine congruence; at least two angles or one side must be known.