SSS, SAS, ASA & AAS Review

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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, then the triangles are congruent.

Front

What is the difference between SSA and other congruence postulates?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Front

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

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?

Back

The triangles are congruent by the SAS postulate.

Front

Can two triangles be congruent if only two angles are known?

Back

No, knowing only two angles (AAA) does not guarantee congruence, as it can lead to similar but not congruent triangles.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.