Question

Properties of a cyclic quadrilateral sides

Answer 1

If one side of the cyclic quadrilateral is produced, then the exterior angle so formed is equal to the interior opposite angle.The sum of the opposite angles of a cyclic quadrilateral is supplementary.If two opposite angles of a quadrilateral are supplementary, then it is a cyclic quadrilateral.In a cyclic quadrilateral, the ratio of the diagonals equals the ratio of the sum of products of the sides that share the diagonal's end points.Perpendicular Bisectors of a quadrilateral are concurrent only if it is a cyclic quadrialateral.The four perpendicular bisectors of the four sides meet at the centre of the circle only if it is a cyclic quadrilateral.According to cyclic quadrilateral conjecture, the opposite angles of a cyclic quadrilateral are supplementary.
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