there are several names for rhombus quadrilaterals. rhombus quadrilateral is the main name of a rhombus quadrilateral. some other names arent very similar to this name but can still describe it.
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Lozerge, diamond, rhomb, Quadrillateral, equilateral and arallelogram
A rectangle
Every rhombus is a parallelogram.
A rhombus is a quadrilateral with four equal sides.
A rhombus has 4 sides so every rhombus is also a quadrilateral.