The diagonal of a quadrilateral are equal is it necessarily a parallelogram

Dear Student,
Please find below the solution to the asked query:
No it is not necessary that by being equal diagonals a quadrilateral will be parallelogram.
By looking the figure below you can see that quadrilateral has equal diagonals and it is not parallelogram.

Hope this information will clear your doubts about quadrilateral.
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yes. it should be necessarily a parallelogram
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yes
  • -1
The diagonals of a parallelogram are not equal.
They only bisect each other.

If the diagonals of a quadrilateral are equal, then it must be a square or a rectangle.
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