Question

If the diagonals of a quadrilateral bisect each other at a right angle then show that it is a rhombus.
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Answer 1

Step-by-step explanation:

here is your answer and once try to solve it yourself

Answer 2

Step-by-step explanation:

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.