Coach E's ASA and AAS

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 the 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 corresponding included side of another triangle.

Front

What is the criteria for two triangles to be congruent using AAS?

Back

Two triangles are congruent using AAS 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.

Front

What is the criteria for two triangles to be congruent using ASA?

Back

Two triangles are congruent using ASA if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle.

Front

If two triangles have two pairs of equal angles, what can be concluded about their congruence?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS or ASA criteria.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two angles or two sides must also be equal.

Front

What does it mean if two triangles are 'not congruent'?

Back

If two triangles are 'not congruent', it means that they do not have the same size and shape, and their corresponding sides and angles are not equal.

Front

Provide an example of a triangle congruence statement using AAS.

Back

Front

Provide an example of a triangle congruence statement using ASA.

Back

Front

What is the significance of the included side in ASA?

Back

In ASA, the included side is the side between the two angles; it is crucial for establishing congruence because it directly connects the two angles.