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Q.

ABCD is a parallelogram whose each side is equal, then its diagonals are always :

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a

Equal

b

Parallel

c

Perpendicular bisector

d

Equal and perpendicular bisector

answer is C.

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Detailed Solution

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If ​ABCD is a parallelogram with equal sides, it is either a square or a rhombus.

Diagonals of a square are equal and perpendicular bisectors of each other. However, the diagonals of a rhombus are perpendicular bisectors of each other but are not equal.

Therefore, we can say that if a parallelogram has equal sides then its diagonals must be the perpendicular bisector of each other.

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