Triangle congruence refers to the concept that two triangles are congruent if they have the same size and shape. This means that all corresponding sides and angles of the triangles are equal. There are several criteria to determine triangle congruence, including Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). When two triangles are congruent, they can be perfectly superimposed on each other. This property is essential in geometry, as it helps in solving problems related to triangles and understanding their relationships. Congruent triangles are often used in proofs and constructions in various mathematical contexts.