yes
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Never. A parallelogram has two pairs of equal angles opposite one another. A trapezoid does not.
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No trapezoids are parallelograms, and no parallelograms are trapezoids.
never
Parallelograms are squares is sometimes true. Squares are parallelograms is always true. Rhomboids are parallelograms is also always true. So not all parallelograms are squares but some are.
Quadrangles that are not parallelograms = trapezoids, kites, any other polygon that is not a parallelogram
Because a parallelogram is defined as having two pairs of parallel sides. A Trapezoid only has one pair.