Question

ABCD is quadrilateral whose diagonal AC divided it into two parts, equal in area, then ABCD
(a) is a rectangle
(b) is always a rhombus
(c) is a parallelogram
(d) need not be any of (a), (b) or (c)

Answer 1

The diagonal of a parallelogram, rectangle, rhombus or a square divides them into two parts, equal in area.

Therefore, if ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD need not be a rectangle, parallelogram or a rhombus. It can be a square as well.

Hence, the correct option is (d).