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A rectangle is a parallelogram with angles of 90 degrees. A square has those properties (and more) so it is a rectangle.
For a start, a square IS a rectangle, so it has ALL the properties of a rectangle. A square has the additional property that all of its sides have the same length.
Yes. There is a shape that has all the properties of a rectangle and all the properties of a rhombus at the same time. It is called a square.
Properties of a non-square rectangle include the following: The diagonal cross each other and are congruent. Opposite sides are congruent as well as parallel.
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.