PROOFS with Congruent triangles

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if triangle ABC is considered, then AB = AB.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the CPCTC Theorem?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is used to prove that corresponding sides and angles of congruent triangles are also congruent.

Front

What is the AAS postulate 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 congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the significance of congruent triangles in proofs?

Back

Congruent triangles are significant in proofs because they allow us to establish relationships between different geometric figures and to prove properties about angles and sides.

Front

How do you identify congruent triangles?

Back

Congruent triangles can be identified using congruence postulates such as SSS, SAS, ASA, AAS, and HL.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which is a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the ASA postulate in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which 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 triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

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 establishes the truth of a geometric statement or theorem.