Triangle congruence theorems

Triangle congruence theorems provide criteria to determine when two triangles are exactly the same shape and size. They include rules like SSS (Side-Side-Side), where if all three sides of one triangle are equal to another's, the triangles are congruent. ASA (Angle-Side-Angle) and SAS (Side-Angle-Side) involve matching angles and sides in specific patterns. These theorems allow us to establish triangle similarity or congruence reliably, useful in geometry problems, constructions, and proofs to confirm that certain triangles are identical in their dimensions and shape.