No. A trapezoid is a 4-sided polygon with one pair of parallel sides. A parallelogram with 4 equal sides is a rhombus. (A parallelogram with 4 equal sides and 4 right angles is a square, which is a special case of a rhombus.)
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A trapezoid, a parallelogram, or a rhombus.
A parallelogram with 4 equal right angles is a rectangle.
it is a rhombus
The shape you are looking for is a quadrilateral. If you have a square, all angles MUST be right angles. A parallelogram can also have 4 equal sides in length and parallel sides, but a parallelogram doesn't have right angles.
There are actually two answers. parallelogram and trapezoid. No. wait, a square or rectangle is a parallelogram, so I can't rule out that entire class. I guess you are left with trapezoid. Oh wait, a trapezoid can have two right angles and still fit the definition, so I can't rule out that entire class. A non-right triangular section would fit. A non-right trapezoid would be the same thing, I guess. A non-right parallelogram would also work.