SSS & SAS Triangle Congruence

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 is the SSS Triangle Congruence Postulate?

Back

The SSS Triangle Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Triangle Congruence Postulate?

Back

The SAS Triangle Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

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

Back

No, one side alone is not sufficient to prove triangle congruence; additional information about angles or other sides is needed.

Front

What is the importance of congruence in triangles?

Back

Congruence in triangles is important because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What information is needed to use the SSS postulate?

Back

To use the SSS postulate, the lengths of all three sides of both triangles must be known.

Front

What information is needed to use the SAS postulate?

Back

To use the SAS postulate, the lengths of two sides and the measure of the included angle of both triangles must be known.

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that 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.