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That depends on witch quadrilateral your talking about.
One pair.
A trapezoid is a quadrilateral with one pair of sides parallel.
A rectangle, by definition is an irregular quadrilateral. It has two pairs of parallel sides.
A quadrilateral is any figure with 4 sides. ("quad" = 4, "latus" = side). It doesn't have to have any parallel lines. If it happens to have two sides that are parallel, then it's a trapezoid. If it happens to have two pairs of parallel sides, then it's a parallelogram. Common parallelograms are rectangles, squares, and kites.