Go Geometry Problems

Geometry Problem 564: Complete Quadrilateral, Incenter, Excenter, Concyclic Points, Incircle, Excircle

The figure shows a complete quadrilateral ABCDEF. G and N are the excenters of triangles ABE and ADF, respectively. H and M are the incenters of triangles BCF and CDE, respectively. Prove that the points G, H, M, and N are concyclic (lie on a same circle). 

Complete quadrilateral, Incenter, Excenter, Concyclic points


Home | SearchGeometry | Incenter | Excenter | Problems | All Problems | Visual Index | 561-570 | Email | Post a comment or solution | by Antonio Gutierrez