TRIANGLE CONGRUENCE POSTULATES

SAS stands for Side-Angle-Side, 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.

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

ASA stands for Angle-Side-Angle, a postulate that states 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.

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

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving two triangles are congruent to state that their corresponding parts are also congruent.

The corresponding angles of the two triangles are congruent.

The corresponding sides of triangle ABC and triangle DEF are congruent.

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence in the SAS postulate.

To determine if two triangles are congruent using AAS, check if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle.

ASA requires the included side between two angles to be congruent, while AAS allows for a non-included side to be congruent.