Question 137
If the two diagonals of a parallelogram are equal and perpendicular bisectors of each other then it is a
Solution
The diagonals of a parallelogram can be equal only if it is a square or rectangle.
The diagonals of a parallelogram can be perpendicular bisectors of each only if it is a square or a rhombus.
The only common feature in both the conditions is a squre.
Hence, the answer.
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