Question

Question 8
ABCD is a quadrilateral whose diagonal AC divides 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 answer is D.
Here, ABCD need not be any of rectangle, rhombus and parallelogram.
Because, if ABCD is a square, then its diagonal AC also divides into two parts which are equal in area.