Triangle Congruence SSS,SAS,AAS,ASA

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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem 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

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem 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 is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS involves two angles and a non-included side.

Front

Can SSA prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

If two triangles have two sides equal and the included angle is equal, which postulate applies?

Back

SAS (Side-Angle-Side) postulate applies.

Front

If two triangles have three sides equal, which postulate applies?

Back

SSS (Side-Side-Side) postulate applies.

Front

If two triangles have two angles and a non-included side equal, which theorem applies?

Back

AAS (Angle-Angle-Side) theorem applies.

Front

If two triangles have two angles and the included side equal, which theorem applies?

Back

ASA (Angle-Side-Angle) theorem applies.