They are both quadrilaterals with 4 equal sides
They both have 4 interior angles that add up to 360 degrees
They both have 4 exterior angles that add up to 360 degrees
They both have 2 diagonals that intersect each other at 90 degrees
They both have 2 interior triangles
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A rectangle is not always equilateral. A square and a rhombus both have four equal sides.
Both have sides of equal length so that a square is also a rhombus. But a the angles of a rhombus need not be right angles so it may not be a square.
A rectangle is not always equilateral, although it is always equiangular. A rhombus is not always equiangular, but is always equilateral. A square is both equilateral and equiangular.
A square and a rhombus both have 4 congruent sides but their interior angles are different
Yes, a quadrilateral is a four sided polygon. A rhombus and a square are both these.