ABCD is a quadrilateral whose diagonal

Question:

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)

Solution:

(d) Here, ABCD need not be any of rectangle, rhombus and parallelogram because if ABCD is a square, then its diagonal AC also divides it into two

parts which are equal in area.

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