Symmedian point
The symmedian point of a triangle is found at the point of intersection of the triangle's three symmedians. Each symmedian is found by reflecting the median over the angle bisector. An angle bisector splits an angle into two parts, which must be the same, while a median is a line segment in a triangle that goes from the opposite vertex to the midpoint of the opposite side. The reflection of the three medians over angle bisector create the symmedians of the triangle, where the symmedian point is found at the point of intersection of the symmedians. The symmedian point is going to be a reflection of the centroid, which is the point where all three of the triangle's medians intersect.