Question:
Which of the following is not a criterion for congruence of triangles?
(a) SAS
(b) ASA
(c) SSA
(d) SSS
Thinking Process
For triangle to be congruent it is very important that the equal angles are included between the pairs of equal sides. So, SAS congruence rule holds
but not ASS or SSA rule.
Solution:
(c) We know that, two triangles are congruent, if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle.
Also, criterion for congruence of triangles are SAS (Side-Angle-Side), ASA (Angle-Side- Angle), SSS (Side-Side-Side) and RHS (right angle-hypotenuse-side).
So, SSA is not a criterion for congruence of triangles.