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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).
Yes, always. A rhombus is a 4 sided plane shape that has 4 equal sides. Opposite sides are parallel. ■
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
a rhombusNotice that if all 4 sides are equal, then they must be parallel.