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Prove that the perpendicular  bisectors of the sides of the cyclic quadrilateral are concurrent
Asked by rushabhjain.avv | 01 Feb, 2019, 09:54: PM
answered-by-expert Expert Answer
 
Here, ABCD is the cyclic quadrilateral and
OH, OG, OF and OE are the perpendicular bisectors of AB, BC, CD and AD.
 
We know that, In a circle perpendicular bisector of a line segment is passing through the centre.
→OH, OG, OF and OE passess through centre.
→OH, OG, OF and OE are concurret.
 
Hence the perpendicular  bisectors of the sides of the cyclic quadrilateral are concurrent.
Answered by Yasmeen Khan | 04 Feb, 2019, 02:05: PM

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