Which of the following is not a criterion for congruence of triangle ?

Options

A. SAS
B. ASA
C. SSA
D. SSS

Explanation

To determine which of the following is not a criterion for the congruence of triangles, we need to review the established criteria for triangle congruence. The commonly accepted criteria are:

1. **SSS (Side-Side-Side)**: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

2. **SAS (Side-Angle-Side)**: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

3. **ASA (Angle-Side-Angle)**: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

4. **AAS (Angle-Angle-Side)**: If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

5. **HL (Hypotenuse-Leg)**: This is a specific case for right triangles, where if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Now, let's identify the options given in the question. The question asks which of the following is NOT a criterion for the congruence of triangles.

Assuming the options provided are:
- A) SSS
- B) SAS
- C) AAA (Angle-Angle-Angle)
- D) ASA

Among these options, **C) AAA (Angle-Angle-Angle)** is not a criterion for triangle congruence. While AAA can show that two triangles are similar (having the same shape), it does not guarantee that they are congruent (having the same size).

### Final Answer:
The option that is not a criterion for the congruence of triangles is **C) AAA (Angle-Angle-Angle)**.