yes, the top and bottem sides are equal & parallel
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A rhombus has all sides equal but not angles. The opposite angles in a rhombus are equal though.
rhombus
A square does indeed fit the definition of a rhombus if you defined it as any parallelogram with equal sides. A rhombus can also be defined as a parallelogram with opposite equal acute angles and opposite equal obtuse angles, and four equal sides. This definition does not allow for a square.
rhombus
A rhombus, of which the square is a special case.