Let K and L be the points on the semicircle with diameter AB. Denote intersection of AK and AL as T and let N be the point such that N is on segment AB and line TN is perpendicular to AB. If U is the intersection of perpendicular bisector of AB an KL and V is a point on KL such that angles UAV and UBV are equal. Prove that NV is perpendicular to KL. geometrycircumcircleperpendicular bisectorprojective geometrypower of a pointradical axisgeometry unsolved