The name of the quadrilateral does not change because of reflection.
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A square.
If the coordinates of a point, before reflection, were (p, q) then after reflection, they will be (-p, q).
KJFG, subjected to a rotation, reflection, enlargement, translation or any combination of one or more of these transformations result in a quadrilateral.
It is simply a quadrilateral - there is no special name for such a quadrilateral.
There is no specific name for such a quadrilateral.