It could look a little like a dress if 2D. This is also if the square is on top of the trapezoid.
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A trapezoid and parallelogram are both quadrilaterals. Their top and bottoms are parallel. In a parallelogram, all four sides are parallel making it look like a rectangle that was pushed on an angle. The trapezoid is more like the shape of an "A" with a square top.
Square, Rectangle, Rhombus, trapezoid, kite, Parallelogram. Unfortunately I can not draw them here.
A trapezoid
Yes, a trapezoid has two bases. They are the parallel lines on the top and bottom. Parallel lines look like this =
its a rhombus that doesn't look like a square