they are both quadrilaterals and perpendicular.
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A parallelogram is a quadrilateral, which has 2 pair of parallel sides. Squares, rhombuses and rectangles are special cases of parallelograms.
Rhombuses always have 4 equal sides, trapezoids do not.
Rhombuses whose acute angles are 3 degrees would be one subset.
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I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).