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What type of quadrilateral is both a rhombus and a rectangle?
A square fits that description.
What is a quadrilateral but not a rhombus?
A rectangle
What is a a quadrilateral with both of opposite sides parallel?
parallelogram square, rectangle, rhombus
What Is a rectangle Is it sometimes a rhombus?
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.
Every Rectangle is a rhombus?
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.
