IMO A
(1) Area of triangle PQS and area of triangle QRS is given to be the same.
Now both the triangles share the same base QS.
Since area of a triangle is (base * height) / 2, that means the heights of both these triangles must be the same.
Hence the diagonal PR is bisected by the other diagonal (common base) QS.
The fundamental property of a parallelogram is : Diagonals of a parallelogram bisect each other. Hence SUFF.
(2) Does not give us any assistance, regarding the other sides, or the involved angles. Hence INSUFF.
OA ?