Math, asked by priyanka96410kumari, 3 months ago

so that if the diagonals of a quadrilateral bisect each other at right angles then it is a rhombus​

Answers

Answered by rakeshhail
0

Answer:

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Answered by ishita2711
0

Answer-

Step by step explination-

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

In triangle AOB and Triangle AOD

DO=OB ( Mid point)

angle AOB = angle AOD (right angle)

therefore triangle AOB is congruent to triangle AOD

So, AB =AD

In the same way we can prove that

AB = BC = CD = AD

Therefore ABCD is a rhombus

Hence proved

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