Final answer:
The student needs to know the measurements of two angles and the side between them for ASA congruence, indicating that corresponding parts of triangles are equal.
Step-by-step explanation:
The student appears to be asking about the conditions required for ASA (Angle-Side-Angle) congruence in triangles in a mathematics context. In order to determine that two triangles are congruent by ASA, one must have information about two angles and the side between them being equal in both triangles. This information should ideally include the measure of each angle and the length of the included side. In the context of the question, the additional information needed for ASA congruence might reference the equality of corresponding angles and sides between two triangles.