A square or a rhombus
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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.
Then, the opposite sides are congruent.
A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.
Parallelograms have 4 sides, it is a quadrilateral with the opposite sides parallel, and the opposite angles are congruent.4
That's a rhombus.