A rectangle, square, rhombus, and rhomboid are all parallelograms.
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Parallelograms.
No trapezoids are parallelograms, and no parallelograms are trapezoids.
By definition, all squares are parallelograms. Not all parallelograms, however, are squares. All rectangles and rhombuses are also parallelograms.
No trapezoids are parallelograms, and no parallelograms are trapezoids.
Some shapes that fit that condition are parallelograms, scalene triangles, and trapezoids.