ASA & AAS Theorem

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if 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 theorem that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states 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

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

Back

To determine if two triangles are congruent using ASA, check if two angles and the side between them in one triangle are equal to the corresponding two angles and the side in the other triangle.

Front

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

Back

To determine if two triangles are congruent using AAS, check if two angles and a non-included side in one triangle are equal to the corresponding two angles and the non-included side in the other triangle.

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between the two angles to be equal, while AAS allows for the side to be non-included.

Front

Can you use ASA to prove triangles are congruent if only one angle is known?

Back

No, you need to know two angles and the included side to use the ASA postulate.

Front

Can you use AAS to prove triangles are congruent if only one angle is known?

Back

No, you need to know two angles and one non-included side to use the AAS theorem.

Front

What is an example of using the ASA postulate?

Back

If triangle ABC has angles A and B equal to angles D and E in triangle DEF, and side AB is equal to side DE, then triangle ABC is congruent to triangle DEF by ASA.