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.

See also: Hyperbolic Kaleidoscope

Geometry Problems

Ten problems: 1341-1350

Visual Index

Open Problems

All Problems

Circle

Secant

Parallel lines

Chord

Midpoint

Cyclic Quadrilateral

Concyclic
Points

View or Post a solution