Porperty of cyclic quadrilateral

1.	Porperty of cyclic quadrilateral
Answer» Cyclic Quadrilateral Properties\tIn a cyclic quadrilateral, the sum of a pair of opposite angles is 1800. (supplementary).If the sum of two opposite angles are supplementary then it’s a cyclic quadrilateral.The area of a cyclic quadrilateral is [s(s-a)(s-b)(s-c)(s-c)]0.5 where a, b, c, and d are the four sides of the quadrilateral and the perimeter is 2s.The four vertices of a cyclic quadrilateral lie on the circumference of the circle.To get a rectangle or a parallelogram, just join the midpoints of the four sides in order.If PQRS is a cyclic quadrilateral, then ∠SAR = ∠SQR, ∠QPR = ∠QSR, ∠PQS = ∠PRS, ∠QRP = ∠QSP.If T is the point of intersection of the two diagonals, PT X TR = QT X TSThe exterior angle formed if any one side of the cyclic quadrilateral is produced is equal to the interior angle opposite to it.In a given cyclic quadrilateral, d1 / d2 \xa0= sum of the product of sides, which shares the diagonals endpoints.If it is cyclic quadrilateral then the perpendicular bisectors will be concurrent compulsorily.\t

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