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

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove triangle congruence because it does not provide information about the size of the triangles.

Front

What is the difference between ASA and AAS?

Back

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

Front

If two triangles have two angles equal and the side opposite one of those angles equal, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

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

Back

The triangles are congruent by the ASA postulate.

Front

What is a congruence statement?

Back

A congruence statement indicates that two triangles are congruent, often written as ΔABC ≅ ΔDEF.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.