Coach E's ASA and AAS

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 congruent 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 congruent to two angles and the corresponding non-included side of another triangle.

Front

How can you determine if two triangles are congruent using ASA?

Back

If two angles and the side between them in one triangle are congruent to two angles and the side between them in another triangle, the triangles are congruent by ASA.

Front

How can you determine if two triangles are congruent using AAS?

Back

If two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle, the triangles are congruent by AAS.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.

Front

If two triangles are not congruent, what can be said about their corresponding angles and sides?

Back

If two triangles are not congruent, at least one pair of corresponding angles or sides is not equal.

Front

What additional information is needed to prove triangle congruence using ASA?

Back

To prove triangle congruence using ASA, you need to know two angles and the included side of one triangle are congruent to the corresponding parts of another triangle.

Front

What additional information is needed to prove triangle congruence using AAS?

Back

To prove triangle congruence using AAS, you need to know two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle.

Front

Back

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent. Congruence means equal size and shape, while similarity means equal shape but not necessarily equal size.