There several such properties, including:
* The lengths of the sides
* The ratio of length to width
* The angles
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Diagonals are congruent
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.
Opposite angles/sides are equal.