ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:
(a) always a rhombus
(b) a parallelogram
(c) a kite
(d) a trapezium
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Solution
Since, the diagonals of a parallelogram (Rectangle, Rhombus, Square) divides it into two parts equal in area.
Hence, the correct answer is option (b).