Squares, Parallelograms, Trapezoids, Rectangles, and Rhombuses
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A square and a rhombus
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
Regular polygons with even sides if there are 6 or more of them; selected irregular polygons with seven or more odd numbers of sides.
A hexagon (6 sides) has three sets of parallel sides.
Rectangles and squares, sometimes rhombuses and parallelograms are figures that match your description.