We need to complete the statements and reasoning that prove both triangles are congruent. The first statement we need to complete is:
3. PRQ is congruent to ?.
In place of "?" we need to fill PRS, because both are right triangles and the reason for this statement is that all right triangles are congruent.
4. "PQR is congruent to PSR", this was given to us, therefore the reason must be "Given".
5. "PR is congruent to PR", they are the same segment, therefore they are congruent.
6. "The triangle PQR is congruent to PSR", since they share one side and are simillar due to the AA theorem, they must be congruent.