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Question

ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is :

A
always a rhombus
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B
a parallelogram
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C
a kite
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D
a trapezium
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Solution

The correct option is B a parallelogram
A diagonal of a parallelogram divides it into two congruent triangles and we know congruent figures have equal area.
Such a quadrilateral will be a parallelogram.
Hence, the answer is a parallelogram.

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