No, but all parallelograms are trapezoids.
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No but all parallelograms are trapezoids
No. All rhombi (rhombuses) are parallelograms but all parallelograms are not rhombi.
Yes. All squares are parallelograms but not all parallelograms are squares.
All parallelograms are in the class of 4 sided quadrilaterals.
Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.