Final answer:
To prove triangle congruence through ASA, information on two pairs of angles and the side between them is needed; we are given a common side, so we need the measures of two pairs of angles related to that side in both triangles.
Step-by-step explanation:
The student is asking how to prove that two right triangles, AQRS and AQTS are congruent using the Angle-Side-Angle (ASA) postulate. To use ASA for proving congruence between two triangles, there needs to be knowledge that two angles and the included side are congruent in both triangles. Since the initials given ('AQRS'= 'AQTS') suggest that AQ is a common side to both triangles, we need information on two pairs of angles to be able to apply the ASA postulate. Therefore, additional information required could include the measures of angle AQS and angle AQR (as one pair), and angle AQT and angle AQS or angle ATR and angle ARS (as another pair), depending on the diagram referred to.