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Q: Are all quadrangles parallelograms

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No, all parallelograms are quadrangles or quadrilaterals which have 4 sides. Hexagons have 6 sides.

Kites, trapezoids, trapeziums, and self-intersecting/complex quadrilaterals.

Quadrangles that are not parallelograms = trapezoids, kites, any other polygon that is not a parallelogram

All squares are parallelograms, but all parallelograms are not squares.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

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, but all parallelograms are trapezoids.

No but all parallelograms are trapezoids

No. All rhombi (rhombuses) are parallelograms but all parallelograms are not rhombi.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

No. Parallelograms are never trapezoids. Trapezoids are never parallelograms.

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