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Recall the definitions of all quadrilaterals you know.
H
Let's begin with recalling one of the Conditions for Rhombi.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Finally, let's recall that rectangles and squares have four right angles. Since we have no information about the angle measures of HJKL, we cannot determine if this quadrilateral is a square or a rectangle.