No. If it did, then it would be a square.
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Square, Rectangle, Rhombus & Parallelogram
4 corners in a rhombus. Remember that it is a quadrilateral and that quadrilaterals have 4 sides and 4 corners. Quad = Four (4).
A square is a rectangle. A square is a rectangle with equal sides. A rectangle Has to have 4 right angles (and only 4 corners). A Square has the same definition (4 right angles, and only 4 corners) but all the sides have to be equal. A square is not a rhombus. A rhombus is a parallelogram with equal sides. A parallelogram has to have 4 sides (2 pairs of equal sides.) The equal sides must be parallel. A rhombus has the same definition (4 sides - 2 pairs of equal sides. The equal sides must be parallel.) but all the sides have to be equal lengths.
A square has 4 corners.
Yes, a square is a specific type of rectangle or rhombus. The only qualifications for a rectangle are that the corners have the make 90 degree angles and the sides have to be parallel, any square meets those qualifications.