ABCD is a quad. whose diagonals are equal and bisect each other at right angles.Prove that ABCD is a square.
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As diagnols of ABCD bisect each other, so ABCD is a parallelogram. (Theorem)
Now ABCD is a parallelogram whose diagnols bisect at 90 degree hence it is a rhombus. (Theorem)
Now ABCD is a Rhombus whose diagnols are equal hence it is a square (theorem)
Hence proved
Now ABCD is a parallelogram whose diagnols bisect at 90 degree hence it is a rhombus. (Theorem)
Now ABCD is a Rhombus whose diagnols are equal hence it is a square (theorem)
Hence proved
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