# Points Symmetric to the Orthocenter with Respect to the Sides of a Triangle

Points Symmetric to the Orthocenter with Respect to the Sides of a Triangle

Let ABC be a triangle. The points A', B', and C' symmetric to the orthocenter H with respect to the sides of ABC lie on the circumcircle. (A'', B'', and C'' are the feet of the perpendiculars from H to BC, CA, and AB, respectively.)