Let A(-3, 2), B(-5,-5), C(2,-3) and D(4,4) are the vertices of a rhombus.
Coordinates of the midpoint of AC are
Coordinates of the midpoint of BD are
Thus, AC and BD have the same midpoint
Hence, ABCD is a parallelogram
So, ABCD is a parallelogram whose adjacent sides are equal.
Hence, ABCD is a rhombus.