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

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles means that the triangles are identical in shape and size, allowing for the use of one triangle to infer properties about another.

Front

If two triangles have sides of lengths 5, 7, and 10, what postulate can be used to determine their congruence?

Back

SSS postulate can be used if the corresponding sides of another triangle are also 5, 7, and 10.

Front

If two triangles have two sides of equal length and the angle between them is equal, what postulate applies?

Back

SAS postulate applies.

Front

If two triangles have two angles of equal measure and the side opposite one of the angles is equal, what postulate applies?

Back

AAS postulate applies.

Front

What is the congruence statement for triangles with vertices O, E, and G?

Back

The congruence statement is △OEG.

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.