Triangle Congruence SSS,SAS,AAS,ASA

Front

What are the triangle congruence criteria?

Back

The triangle congruence criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), AAS (Angle-Angle-Side), and ASA (Angle-Side-Angle).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which states 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, which states 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, which 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states 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

How can you determine if a set of angles can form a triangle?

Back

The sum of the angles in a triangle must equal 180 degrees. If the sum of the given angles is 180 degrees, they can form a triangle.

Front

What is the relationship between congruent triangles?

Back

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

Front

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

Back

In the SAS criterion, the included angle is the angle between the two sides being compared. It is crucial for establishing congruence.

Front

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

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS) or the angles are known (AAS or ASA).

Front

What is the purpose of using triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which helps in solving various geometric problems.