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If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus?
Most Upvoted Answer
If a quadrilateral's diagonals bisect each other at 90 degree and its ...
Diagonals and Angles:
The fact that the diagonals of the quadrilateral bisect each other at a 90-degree angle means that the quadrilateral is a parallelogram. This is a property of parallelograms, where the diagonals bisect each other and form right angles.
Adjacent Sides:
If the adjacent sides of the quadrilateral are equal in length, it means that the quadrilateral is a rectangle. In a rectangle, opposite sides are equal in length and all angles are right angles.
Can it be a Rhombus?
Based on the given information, we can conclude that the quadrilateral is both a parallelogram (due to the diagonals bisecting at 90 degrees) and a rectangle (due to the adjacent sides being equal). However, a rhombus is a special type of parallelogram where all sides are equal in length.
Conclusion:
Since the given quadrilateral meets the criteria for being a parallelogram and a rectangle but not all sides are equal, it cannot be a rhombus. A rhombus must have all four sides equal in length, which is not the case in this scenario.
Community Answer
If a quadrilateral's diagonals bisect each other at 90 degree and its ...
Yes. It can be either a rhombus or a square.
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If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus?
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If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus?.
If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a quadrilateral's diagonals bisect each other at 90 degree and its adjacent sides are equal, can it be a rhombus?.
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