Side-Side-Side (SSS): When all three sides of a triangle are equal to all three sides of another triangle, the two triangles are considered to be congruent.Side-Angle-Side (SAS): When two sides with an angle included are equal to two sides with an angle of another triangle, the two triangles are considered to be congruent.Angle-Angle-Side (AAS): When two angles of a triangle along with a side i.e excluded are equal to two angles and a side of another triangle, the triangles are considered to be congruent.The four congruence rules of a triangle are: Whereas the ASA congruence rule states that when two angles with an included side are equal to the two angles along with the included side of another triangle, then these two triangles are said to be congruent. The SAS congruence rule states that if two sides of a triangle along with an angle in between is equal to two sides and included the angle of another triangle, then the two triangles are said to be congruent. The SAS congruency is used when two triangles have one angle common and two sides equal, so as to prove that such triangles are congruent. SAS stands for the Side-Angle-Side theorem in the congruency of triangles. The Four triangle similarity theorems are: What are the Four Triangle Similarity Theorems? In the SSS postulate, all three sides of one triangle are equal to the three corresponding sides of another triangle.
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