# Reflections of a Line through the Orthocenter in the Sides of an Acute Triangle

Reflections of a Line through the Orthocenter in the Sides of an Acute Triangle

A line is drawn through the orthocenter (the intersection point of the altitudes) of an acute-angled triangle. Prove that the symmetric images , , of with respect to the sides , , have a point in common, which lies on the circumcircle of .

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H

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a

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BC

CA

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ABC