Yes.
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A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
always
trapezoid * * * * * It cannot be a trapezoid because that does not have four congruent sides. In fact it need not have even two congruent sides. The correct answer is a rhombus.