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Geometry Problem 1306: Cyclic, Inscribed Quadrilateral, Circle, Tangent, Diagonals, Collinear Points. Level: School, College, Mathematics Education

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The figure below shows a quadrilateral ABCD inscribed in a circle O. AC and BD meet at E, AB and DC meet at F and tangents at B and C meet at G. Prove that the points F, G, and E are collinear.
 

Geometry Problem 1306: Cyclic, Inscribed Quadrilateral, Circle, Tangent, Diagonals, Collinear Points
  
 

Home SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 1301-1310 | Triangle | Cyclic Quadrilateral | Circle | Tangent Line | Collinear Points| by Antonio Gutierrez

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