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    No. By definition trapezoids will always have only one pair of parallel sides. Having a trapezoid with two parallel sides of equal length would give you two pairs of parallel sides, which would be considered a rectangle instead of a trapezoid. A square will also always have two pairs of parallel sides, and thus cannot be a trapezoid.
    www.khanacademy.org/math/cc-fifth-grade-math/pr…
    A trapezoid is a quadrilateral with exactly one pair of parallel sides. Whereas, a square is a quadrilateral with two pairs of parallel sides opposite each other. Therefore, a square is not a trapezoid.
    www.ck12.org/flexi/geometry/quadrilaterals/is-a-sq…
     
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