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Grade 99 grade maths

ABCD is a square. E is the midpoint of AB. Join EC and ED. EC intersects BD at N. Join AN intersecting BC at F. AN intersects ED at G. Prove DCFG is a cyclic quadrilateral? Any help is appreciated.

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Shreshth Kaushik

7 Years agoGrade 9

1 Answer

prince sunjot dutt

7 Years ago

In order to prove it is cyclic, we just need to prove the fact that sum of opposite angles of a cyclic quadrilateral is180•.i.e. $\zeta \angle$ DGF+ $\zeta \angle$ DCF=180•. Simce , it is already given that $\zeta \angle$ DCF=90. So, just prove that $\zeta \angle$ DGF=90.

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