ASA and AAS Diagrams

Front

What does ASA stand for in triangle congruence?

Back

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

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 two triangles are congruent.

Front

What is the main difference between ASA and AAS?

Back

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

Front

Can you use ASA to prove triangle congruence?

Back

Yes, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent by ASA.

Front

Can you use AAS to prove triangle congruence?

Back

Yes, if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent by AAS.

Front

If triangle ABC has angles A and B equal to angles D and E in triangle DEF, and side AC equal to side DF, what can be concluded?

Back

Triangle ABC is congruent to triangle DEF by AAS.

Front

If triangle XYZ has angles X and Y equal to angles P and Q in triangle RST, and side XY equal to side RS, what can be concluded?

Back

Triangle XYZ is congruent to triangle RST 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.

Front

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

Back

Check if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

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

Back

Check if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle.