a rhombus
Notice that if all 4 sides are equal, then they must be parallel.
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A parallelogram is a four sided shape where opposite sides are parallel and equal lengths. If you mean that ALL sides are equal lengths, you are looking for a rhombus.
an perticulogram
Square. Square is a quadrilateral and all sides are equal and opposite sides are parallel, the sum of the interior angle measure 3600.
If both sets of opposite sides are parallel and not equal, the shape cannot be a plane figure. It must be a projection of a parallelogram onto a spherical surface (or similar).
Rhombus