Let AC be the greatest leg of a right triangle ABC, and CH be the altitude to its hypotenuse. The circle of radius CH centered at H intersects AC in point M. Let a point B′ be the reflection of B with respect to the point H. The perpendicular to AB erected at B′ meets the circle in a point K. Prove thata) B′M∥BCb) AK is tangent to the circle. geometrygeometric transformationreflectiongeometry proposed