Well, honey, in a parallelogram, opposite sides are equal in length and opposite angles are equal in measure. So, the most likely side lengths for a parallelogram would be two pairs of sides that are equal to each other. But hey, don't forget, as long as those opposite sides are parallel and those angles are congruent, you've got yourself a good ol' parallelogram.
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parallelogram
The most generic one would be a parallelogram, but if you want to be more specific, a rhombus is SOMETIMES a parallelogram with no right angles (exception is a square, which is also a rhombus).
hexagon
square-rectangle-rhombus-parallelogram
That's is most true. They would both have to have the same side lengths. :D