Yes, all rhombi are parallelograms. A rhombus is, by definition, "a parallelogram in which all of the sides are the same length."
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No but all parallelograms are trapezoids
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.