MCQ
$\text{ABCD}$ is a quadrilateral whose diagonal $AC$ divides it into two parts, equal in area, then $\text{ABCD}$ is:
  • A
    A rectangle
  • B
    $a \|gm$
  • C
    A rhombus
  • All of these

Answer

Correct option: D.
All of these
The diagonals of a parallelogram divide the parallelogram into two triangles with equal areas.
Since a rectangle and a rhombus is $a \|gm, \text{ABCD}$ could be a rectangle, or $\|gm$ or a rhombus.

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