Question

if diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral prove that it is a rectangle​

Answer 1

Answer:

Given : Diagonals of a cyclic quadrilateral are diameters of circle

To prove : quadrilateral is a rectangle

proof : if diagonals of cyclic quadrilateral are diameters of circle then both diagonals are equal

quadrilateral having equal diagonals is either square or rectangle

but taking under consideration vertices of quadrilateral it is a rectangle

hence proved

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