Similar polygons have congruent angles and the same shape (but not necessarily the same size). Since the shape of a square and a rectangle is different from the shape of a trapezoid, they are not similar to it.
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Yes they can definitly be similar.
No. Consider a square and rectangle.
No. A square is a rectangle, but a rectangle is not a square.
parallel sides, four right angles, quadrilateral
A rectangle and a square are different shapes. A rectangle cannot be a square.