Let there be an acute scalene triangle ABC with circumcenter O. Denote D,E be the reflection of O with respect to AB,AC, respectively. The circumcircle of ADE meets AB, AC, the circumcircle of ABC at points K,L,M, respectively, and they are all distinct from A. Prove that the lines BC,KL,AM are concurrent. geometrygeometric transformationreflectioncircumcircle