ASA vs. AAS

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the ASA congruence theorem?

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 a corresponding non-included side of another triangle, then the triangles are congruent.

Front

Can ASA be used to prove triangle congruence?

Back

Yes, ASA can be used to prove that two triangles are congruent.

Front

Can AAS be used to prove triangle congruence?

Back

Yes, AAS can be used to prove that two triangles are congruent.

Front

What is the difference between ASA and AAS?

Back

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

Front

If two triangles have two equal angles, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, and the triangles are similar.

Front

What is the importance of congruence in triangles?

Back

Congruence in triangles allows us to conclude that the triangles are identical in shape and size.

Front

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

Back

Check if two angles and the included side of one triangle are equal to the corresponding parts of the other triangle.