Question

Which of the following is not a criterion for congruency of two triangles?

Answer 1

Two triangles are said to be congruent if all the three corresponding sides are equal and all the three corresponding angles are equal.

Angle-Angle-Angle (AAA) is not a criterion for congruence of triangles.

Knowing the measures of all the angles of two triangles is not sufficient to determine if the two triangles are congruent.

Moreover, two triangles having the same set of angles can be of different sizes as shown below.


The remaining options: Side-Side-Side (SSS), Angle-Side-Angle (ASA), and Side-Angle-Side (SAS) are criteria to determine if two given triangles are congruent or not.