Question
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
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Text solutionVerified
Take quadrilateral ABCD , AC and BD are diagonals which intersect at O.
In and
is the midpoint
Common side
Right angle
So,
So,
Similarly, can be proved which means that is a rhombus.
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Question Text | Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. |
Answer Type | Text solution:1 |
Upvotes | 150 |