There are too many 4-sided polygons which satisfy those requirements and there is no specific name for them.
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A square is a four-sided polygon with two congruent parallel sides.
A four-sided polygon with opposite sides parallel and all sides congruent is a square.
A hexagon is a six-sided polygon. A four-sided polygon is a quadrilateral, quadrangle, or tetragon.
A four-sided polygon with all sides congruent and with four right angles is a square.
A four-sided polygon with four congruent sides and four equal angles is a square