SSS similarly can be proved by showing that the side lengths of one triangle are proportional to the side length of the other triangle. Under the SSS theorem, if all the three sides of one triangle are equal to the three corresponding sides of another triangle, the two triangles are congruent. SSS Criterion stands for side side side congruence postulate. We can represent this in a mathematical form using the congruent triangles symbol (≅). Since these two triangles are of the same size and shape, we can say that they are congruent. Hence, it indicates that the corresponding parts of congruent triangles are equal. This means that AB falls on XY, BC falls on XZ, and AC falls on ZY. For example, the two triangles above are said to be congruent according to the SSS congruence rule. Congruence is the term used to describe the relation of two figures that are congruent. The word congruent means equal in every aspect or figure in terms of shape and size. Look at the triangles below, the triangles are said to be congruent because AC = ZY, CB = ZX, and AB = XY. This essentially means that any such pair of triangles will be equiangular i.e. Under this criterion, if all the three sides of one triangle are equal to the three corresponding sides of another triangle, the two triangles are said to be congruent. SSS Criterion stands for Side-Side-Side congruence postulate.

Sas postulate definition geometry