Math, asked by spsujal, 10 days ago

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

Answers

Answered by jankal
2

Answer:

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.

please mark as brainliest answer

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