SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 criterion for triangle congruence 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 is the Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem states 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 is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the significance of a bisector in triangle congruence?

Back

A bisector divides an angle or a side into two equal parts, which can help establish congruence between triangles by providing equal angles or sides.

Front

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

Back

The SAS (Side-Angle-Side) theorem applies.

Front

If all three sides of one triangle are equal to all three sides of another triangle, which theorem applies?

Back

The SSS (Side-Side-Side) theorem applies.

Front

What is the relationship between included angles and triangle congruence?

Back

Included angles are the angles formed between two sides of a triangle. They are crucial in the SAS and ASA theorems for establishing triangle congruence.

Front

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

Back

Yes, if two angles are known, the third angle can be determined, and the triangles can be proven congruent using the AAS or ASA theorems.