This document discusses two methods for proving triangles are congruent: the Side-Side-Side (SSS) method and the Side-Angle-Side (SAS) method. SSS states that if all three sides of one triangle are congruent to another triangle, then the triangles are congruent. SAS states that if two sides and the included angle of one triangle are congruent to those of another triangle, then the triangles are congruent. Examples are provided to demonstrate how to use SSS and SAS to prove triangle congruence.