ASA and AAS 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 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 the ASA criterion used for?

Back

The ASA criterion is used to determine if two triangles are congruent by comparing two angles and the side between them.

Front

What is the AAS criterion used for?

Back

The AAS criterion is used to determine if two triangles are congruent by comparing two angles and a side that is not between them.

Front

If two triangles have two angles equal, what can be concluded?

Back

If two triangles have two angles equal, they are congruent by the AAS criterion.

Front

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

Back

If two triangles have two angles and the included side equal, they are congruent by the ASA criterion.

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, knowing only one angle and one side is not sufficient to determine triangle congruence.

Front

What is the relationship between AAS and ASA?

Back

AAS and ASA are both criteria for triangle congruence; AAS can be derived from ASA.

Front

What does it mean for triangles to be 'not congruent'?

Back

Triangles are 'not congruent' if they do not satisfy any of the congruence criteria (ASA, AAS, SSS, SAS).

Front

How can you prove two triangles are not congruent?

Back

You can prove two triangles are not congruent by showing that they do not meet any of the congruence criteria.