SSS, SAS, ASA, AAS

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate stating that 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.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate stating 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, the triangles are congruent.

Front

If two triangles have two angles equal, what can be concluded about the triangles?

Back

The triangles are congruent by the AAS postulate.

Front

If two triangles have three sides equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two sides and the included angle equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

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

Back

The triangles are congruent by the AAS postulate.

Front

What is the difference between ASA and AAS?

Back

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

Front

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides or angles must be equal to establish congruence.