Term 1: Side-Side-Side (SSS) Congruence Postulate
Definition 1: If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. $(\triangle ABC \cong \triangle DEF)$ if $AB=DE$, $BC=EF$, and $CA=FD$.
Term 2: Side-Angle-Side (SAS) Congruence Postulate
Definition 2: 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. $(\triangle ABC \cong \triangle DEF)$ if $AB=DE$, $\angle B = \angle E$, and $BC=EF$.
Term 3: Angle-Side-Angle (ASA) Congruence Postulate
Definition 3: 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. $(\triangle ABC \cong \triangle DEF)$ if $\angle A = \angle D$, $AB=DE$, and $\angle B = \angle E$.
Term 4: Angle-Angle-Side (AAS) Congruence Theorem
Definition 4: 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. $(\triangle ABC \cong \triangle DEF)$ if $\angle A = \angle D$, $\angle B = \angle E$, and $BC=EF$.
Term 5: Hypotenuse-Leg (HL) Congruence Theorem
Definition 5: If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle