Geometry Problem 1342: Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral

In the figure below, lines ABC, ADE and AFG are secants to a circle of center O so that DG is parallel to AC. Line EF meets AC at H and N is a point on AC so that H is the midpoint of AN. If M is the midpoint of BC, prove that the points D, E, M, and N are concyclic.

Geometry Problem 1342: Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral, Machu Picchu
See also: Hyperbolic Kaleidoscope

Hyperbolic Kaleidoscope of Problem 1341 on Instagram:


#Geometric Art of Problem 1341: #Isosceles Triangle, 80-20-80 Degrees, #Hyperbolic Kaleidoscope, #iPad Apps #Geometry Details: http://www.gogeometry.com/school-college/4/p1341-ipad-hyperbolic-kaleidoscope-isosceles-sw.htm

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