Given points are A(-3, 2), B (-5, -5), C (2, -3) and D(4, 4)

By distance formula,

XY =

For AB ,

AB =

=

= units

For BC ,

BC =

=

= units

For CD,

CD =

=

= units

For AD ,

AB =

=

= units

Here we can observe that all lengths of □PQRS are equal.

Now for diagonal AC,

AC =

=

= units

Now for diagonal BD,

BD =

=

= units

Here in □ABCD, diagonals are unequal.

We know that a quadrilateral whose all sides are equal and diagonals are unequal, it is a rhombus.

Hence, our □ABCD is rhombus .