Let ΔABC be a triangle inscribed in the circumference ω of center O. Let T be the symmetric of C respect to O and T′ be the reflection of T respect to line AB. Line BT′ intersects ω again at R. The perpendicular to CT through O intersects line AC at L. Let N be the intersection of lines TR and AC. Prove that CN=2AL. geometryCentroamericangeometric transformationreflection