Question

Which of the following options is/are appropriate criteria for congruence?

• A. S.S.S.
• B. A.A.A.
• C. A.S.A.
• D. S.A.S.

Answer 1

Answer: (A), (C), (D)

The correct options are
A S.S.S.
C A.S.A.
D S.A.S.

Angle-Angle-Angle (A.A.A.) is not a criterion for congruence.
Knowing the measures of all the angles of two triangles is not sufficient to determine if the two triangles are congruent. Because 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 the given triangles are congruent.