Triangle Congruence Proofs

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a geometric figure is congruent to itself. In triangle congruence, it means that a side or angle of a triangle is equal to itself.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the significance of the statement HD=DN in triangle proofs?

Back

The statement HD=DN indicates that two segments are equal, which is often used to establish congruence between triangles.

Front

What does CPCTC stand for in triangle congruence proofs?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which is used to conclude that corresponding angles and sides of congruent triangles are equal.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, which can be proven using various congruence criteria.

Front

List the four main criteria for triangle congruence.

Back

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

Front

What is the SAS criterion for 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, then the triangles are congruent.

Front

What is the ASA criterion for 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, then the triangles are congruent.

Front

What is the AAS criterion for 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, then the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

To determine if two triangles are congruent using the SSS criterion, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.