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Question
ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD ______.
Options
is a rectangle
is always a rhombus
is a parallelogram
need not be any of (A), (B) or (C)
Solution
ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD need not be any of (A), (B) or (C).
Explanation:
The quadrilateral ABCD need not be any of rectangle, rhombus and parallelogram because if quadrilateral ABCD is a square then its diagonal AC also divides it into two parts which are equal in area.
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