SSS, SAS, ASA, and AAS congruency

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

Front

If two triangles have three sides of equal length, what can be concluded?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two sides of equal length and the angle between them is equal, what can be concluded?

Back

The triangles are congruent by the SAS postulate.

Front

If two triangles have two angles of equal measure and the side between them is equal, what can be concluded?

Back

The triangles are congruent by the ASA postulate.

Front

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

Back

The triangles are congruent by the AAS postulate.

Front

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

Back

No, at least two sides and the included angle or two angles and a side must be equal for congruence.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same shape and size, which allows for the application of various geometric principles and theorems.