The answer is a parallelogram. Â Quadrilateral have 4 sides, and if there are not right angles, it cannot be a rectangle because that is the added characteristic of rectangles. Â All rectangles are actually parallelograms, but only parallelograms will have exactly 2 pairs of parallel sides with no right angles. Â The statement says "may" because as I mentioned before, rectangles are parallelograms too!