Two diameter of a cicrle intersect each other at right angles . prove that the quadrilateral formed by joining their end point is a square.
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Let AB and CD be the diagonals of a circle such that AB⊥CD
Joining points A,b,C,D in order we see that AB and CD are the equal diagonals of quad. ACBD which intersect at rightangle.
∴ ACBD is a square.
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