Q: What special quadrilateral is both a rectangle and a rhombus?

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The shape is a parallelogram (special cases: rhombus, rectangle, square).

Yes, they are both 4 sided quadrilaterals

square, rectangle, rhombus...

No but they are both 4 equal sided quadrilaterals.

Rhombus and rectangle are both special kinds of parallelogram.A parallelogram can be either of those, but it doesn't have to be.

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A square satisfies those conditions.

a quadrilateral is a square, rectangle, rhombus, parallelogram, and trapezoid.

a square

The shape is a parallelogram (special cases: rhombus, rectangle, square).

A square fits that description.

Yes, they are both 4 sided quadrilaterals

A rectangle can sometimes be a rhombus, as a square is both a rectangle and a rhombus. However, if all sides are congruent, and it has right angles, it is a square and therefore not a rectangle. So, the answer is no, although it may be argued to be yes. Wikipedia, in fact, mentions that a square is both a rectangle and a rhombus; the definition of rectangle there is a quadrilateral with four right angles, thereby not excluding the special case of a rectangular rhombus, or a square. A rhombus is not normally a square but it could be.

parallelogram square, rectangle, rhombus

square, rectangle, rhombus...

No but they are both 4 equal sided quadrilaterals.

Rhombus and rectangle are both special kinds of parallelogram.A parallelogram can be either of those, but it doesn't have to be.

A rectangle is a form of quadrilateral parallelogram, where all angles are of ninety (90) degrees. A rhombus is a quadrilateral parallelogram where all sides are the same length. The only time when a rhombus is a rectangle and vice versa is when both side lengths and angles are equal, i.e. when the shape is a square.