Triangle Congruence Proofs

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a geometric figure is congruent to itself, which is often used in proofs involving triangles.

Front

What is the significance of the statement ⊿GHI ≅ ⊿KLJ in triangle congruence?

Back

This statement indicates that triangle GHI is congruent to triangle KLJ, which can be used to establish that corresponding parts of these triangles are also congruent.

Front

What is the Definition of Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What does the statement ∡BAC ≅ ∡DAC imply in a proof?

Back

This statement implies that angle BAC is congruent to angle DAC, which is often a step in proving triangle congruence.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

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

Back

The ASA 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 triangles are congruent.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

The SAS 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 triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

The SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) congruence theorem?

Back

The AAS theorem 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.