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Show that if the diagonals of a quadril...

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus

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Given: The diagonals of a quadrilateral bisect each other at right angles.
To show that a given quadrilateral is a rhombus, we have to show it is a parallelogram and all the sides are equal.
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus ...
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Knowledge Check

  • If the diagonals of a quadrilateral bisect each other at right angles, it will be a

    A
    rhombus
    B
    trapezium
    C
    rectangle
    D
    kite
  • If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is

    A
    a rectangle
    B
    a rhombus
    C
    a kite
    D
    none of these
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