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Not only does a rhombus always have one pair on parallel opposite sides, but it always has two! A rhombus is usually defined as a simple polygon of four sides where all the sides are the same length." If this is true of a figure then both pairs of opposite sides have to be parallel. Here is a proof for those who are interested.

http://www.artofproblemsolving.com/Wiki/index.php/Rhombus#Proof_that_a_rhombus_is_a_parallelogram

If there is only one pair of parallel sides in the figure, then it is a trapezoid. A rhombus is a trapezoid too.

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Q: Does a rhombus have one side of parallel sides?
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