What quadrilaterals have the same attributes of a rectangle?

What quadrilaterals have the same attributes of a rectangle?
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If the attributes of a rectangle are considered to be:it has two pairs of parallel sidesopposite sides are equal in lengthall angles are 90°the diagonals are equal and bisectThen only a square also has those attributes. If it is a further requirement that the two pairs of opposite sides are such that in each pair the lengths of the sides are the same, but the lengths of those two pairs are different, then only a rectangle is a rectangle.
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