rectangleand the rhombus
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Such a quadrangle cannot exist. The right angle must be formed by one of the parallel sides and one of the non-parallel sides. Then the angle formed at the other end of that non-parallel side would also be a right angle (the non-parallel side would be a transversal intercepting the two parallels). But then the quadrangle has two right angles, and not just one. No its Trapezoid
A rhombus for example
Three sets of two
A square is an example of four sided figures with the opposite sides parallel. While all sides have one side that is parallel to the opposing side, the sides are all other parallel to each other. Mathmaticaly speaking each side of the square has one parallel side opposing it and an orthogonal side at each of its ends. The square shares this property with other rectangles
One side cannot be parallel because parallel is a relationship between two lines (or sides). A square has two pairs of parallel lines.