The figure below shows a triangle ABC. Circle of diameter AC
intersects AB and
BC at D and E, respectively. C_{1} is the
nine-point circle
of triangle ABC
and C_{2} is the nine-point circle of triangle DBE. Circles C_{1} and C_{2}
intersect at F and G. M is the midpoint of BD and BF extended intersects circle
C_{1} at H. Prove that the points A, M, F, and H are concyclic.

Geometry Problems

Ten problems: 1351-1360

Visual Index

Open Problems

All Problems

Triangle

Circle

Semicircle

Nine-point circle

Midpoint

Concyclic
Points

Cyclic Quadrilateral

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