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Concyclic Points from Reflections of the Circumcenter about the Altitudes

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Let ABC be a triangle with circumcenter O. Let A'', B'', and C'' be the reflections of O in the altitudes AA', BB', and CC', respectively. Then A'', B'', C'', and O are concyclic.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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