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 analyze the options given: SAS, ASA, SSA, and SSS.

### Step-by-Step Solution:

1. **Understand the Criteria for Congruence of Triangles**:
- **SAS (Side-Angle-Side)**: Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle. This is a valid criterion for congruence.
- **ASA (Angle-Side-Angle)**: Two angles and the included side of one triangle are equal to two angles and the included side of another triangle. This is also a valid criterion for congruence.
- **SSS (Side-Side-Side)**: All three sides of one triangle are equal to all three sides of another triangle. This is another valid criterion for congruence.
- **SSA (Side-Side-Angle)**: Two sides and a non-included angle of one triangle are equal to two sides and a non-included angle of another triangle. This is **not** a valid criterion for congruence because it does not guarantee that the triangles are congruent.

2. **Identify the Incorrect Option**:
- From the analysis, we see that SAS, ASA, and SSS are valid criteria for triangle congruence, while SSA is not.

3. **Conclusion**:
- Therefore, the option that is not a criterion for congruence of triangles is **SSA**.

### Final Answer:
The correct option is **SSA**.