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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.

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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Grade:9

1 Answers

prince sunjot dutt
58 Points
3 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 \angleDGF+\zeta \angleDCF=180•. Simce , it is already given that \zeta \angleDCF=90. So, just prove that​ \zeta \angleDGF=90.

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