Online Geometry

Geometry Problem 565: Triangle, Isogonal lines, Angles, Congruence, Concyclic Points

The figure shows a triangle ABC. Angles BAD and CAE are congruent and AD = AE. Angles ABF and CBG are congruent and BF = BG. Angles ACG and BCE are congruent and CE = CG. Prove that the points D, E, G, and F are concyclic (lie on a same circle).

Triangle, Isogonal lines, Congruence, Concyclic points

Home | SearchGeometry | Problems | All Problems | Visual Index | 561-570 | Isogonal lines | Email | Solution/comment | By Antonio Gutierrez