Answer :

Here given points are A (2, 0), B (9, 1), C (11, 6) and D (4, 4).

For a quadrilateral to be rhombus, all sides must be equal.

By distance formula,

XY =

For side AB,

AB =

=

= units.

For BC,

BC =

=

= units

CD =

=

= units.

AD =

=

= units.

Here all sides are unequal.

Hence □ABCD is not a rhombus.

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