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Every Rectangle is a rhombus? - Answers

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.



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Every Rectangle is a rhombus? - Answers

https://math.answers.com/other-math/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.



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https://math.answers.com/other-math/Every_Rectangle_is_a_rhombus

Every Rectangle is a rhombus? - Answers

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.

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      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.
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