ASA and AAS

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to determine triangle congruence.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to determine triangle congruence.

Front

What is the ASA postulate?

Back

The ASA postulate states that 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 postulate?

Back

The AAS postulate states that 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, then the triangles are congruent.

Front

Can triangles be congruent if only the angles are known?

Back

No, knowing only the angles (AAA) does not guarantee congruence; the triangles may be similar but not congruent.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between the two angles to be known, while AAS does not require the side between the two angles to be included.

Front

If two triangles have two angles and the included side equal, what can be concluded?

Back

The triangles are congruent by the ASA postulate.

Front

If two triangles have two angles and a non-included side equal, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

What is the SSS postulate?

Back

The SSS postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

The SAS postulate states that 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.