Congruent Triangle Proofs

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the first statement in the reason column of a proof?

Back

The first statement in the reason column of a proof is always 'Given', which refers to the information provided in the problem.

Front

What does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the HL theorem?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the AAS postulate?

Back

The AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the significance of congruence statements?

Back

Congruence statements indicate that two triangles are congruent, meaning all corresponding sides and angles are equal.

Front

How do you denote triangle congruence?

Back

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What is the difference between a theorem and a postulate?

Back

A postulate is a statement accepted without proof, while a theorem is a statement that has been proven based on postulates, definitions, and previously established theorems.

Front

What is the role of given information in a proof?

Back

Given information serves as the starting point for a proof, providing the necessary conditions and facts that must be used to establish the conclusion.