Geometry, Theorems and Problems

Geometry Problem 1234: Quadrilateral, 60 Degrees, Midpoint, Congruence, Cyclic Quadrilateral, Concyclic Points. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

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In a quadrilateral ABCD, angle ABC = angle ADB = angle BDC = 60 degrees. The diagonals cut at E. The midpoint of BC is F and BC is extended to G such that C is the midpoint of BG . Prove that D,E,F,G are concyclic points.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka. 
 

Geometry Problem 1234: Quadrilateral, 60 Degrees, Midpoint, Congruence, Cyclic Quadrilateral, Concyclic Points.
  

 

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Last updated: Jul 9, 2016