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no a square does not have one pair of parallel it has two pair of parallel
One pair? If it is one pair of parallel sides, then it is a trapezoid. If it has 2 pairs of parallel sides, then it is a parallelogram.
One parallel side is like one scissor, one tweezer, one plier, one pant, and one hand clapping. Without another one, there's no such thing. A line can't be parallel if it doesn't have another line to be parallel to, and if it has, then the other line is also parallel to the first one. Parallel things always come in groups of at least two. So there's no shape that satisfies the description in the question.
A trapezoid has one and only one set of opposite sides that are parallel. The other pair of opposite sides are not parallel.
They have two pairs of sides that are parallel. Trapeziums have exactly one pair of sides that are parallel.