Triangle Congruence SSS, SAS, 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 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 is the AAS postulate 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 two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are congruent by the ASA postulate.

Front

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

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded about the triangles?

Back

The triangles are congruent by the SAS postulate.

Front

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

Back

No, at least two sides and the included angle or three sides must be equal for the triangles to be congruent.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also equal.

Front

What is the significance of the included angle in the SAS postulate?

Back

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