Let ABC be an acute triangle with altitudes AA′ and BB′ and orthocenter H. Let C0 be the midpoint of the segment AB. Let g be the line symmetric to the line CC0 with respect to the angular bisector of ∠ACB. Let h be the line symmetric to the line HC0 with respect to the angular bisector of ∠AHB.Show that the lines g and h intersect on the line A′B′. geometrygeometry proposedsymmedianIntersection