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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have three sides equal, what postulate can be used to prove they are congruent?

Back

SSS (Side-Side-Side) postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two sides and the included angle equal, what postulate can be used to prove they are congruent?

Back

SAS (Side-Angle-Side) postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles and the included side equal, what postulate can be used to prove they are congruent?

Back

ASA (Angle-Side-Angle) postulate.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two angles and a non-included side equal, what postulate can be used to prove they are congruent?

Back

AAS (Angle-Angle-Side) postulate.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

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

Tags

CCSS.8.G.A.2

Front

What is the relationship between SAS and ASA postulates?

Back

Both SAS and ASA can be used to prove triangle congruence, but they require different information: SAS needs two sides and the included angle, while ASA needs two angles and the included side.

Tags

CCSS.HSG.SRT.B.5