Math, asked by Anonymous, 5 months ago

Show that if the diagonals of a quadrilateral
bisect each other at right angles, then it is a rhombus...

No irrelevant answers.....

Answers

Answered by muskan2758
3

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Answered by DynamicPlayer
4

Take quadrilateral ABCD , AC and BD are diagonals which intersect at O.

In △AOB and △AOD

DO=OB ∣ O is the midpoint

AO=AO ∣ Common side

∠AOB=∠AOD ∣ Right angle

So, △AOB≅△AOD

So, AB=AD

Similarly, AB=BC=CD=AD can be proved which means that ABCD is a rhombus.

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