Q. 184.6( 9 Votes )

If the diagonals

Answer :


Given that ABCD is a quadrilateral and diagonals AC and BD intersect at O such that


IN Δ AOD and ΔBOC



AOD = COB


Thus Δ AOC ΔBOC (SAS similarity criterion)


OAD = OCB ……………..1


Now transversal AC intersect AD and BC such the CAD = ACB


(from …..1 ) (alternate opposite angles)


So AD BC


Hence ABCD is a trapezium

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