No trapezoids are not parallelograms. Trapezoids are actually quadrilaterals and they have one pair of opposite sides. Parallelograms by definition have 2 pairs of parallel sides.
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All rectangles are parallelograms, so yes there are some.
Some parallelograms are rectangles; all rectangles are parallelograms.
Some do, but not all. It's not a general thing that you can say about all parallelograms.
No. Only some parallelograms are rectangles. But all rectangles are parallelograms.
A right angle.