A,B,C, and D are the four different points on the circle O in the order. Let the centre of the scribed circle of triangle ABC, which is tangent to BC, be O1. Let the centre of the scribed circle of triangle ACD, which is tangent to CD, be O2.(1) Show that the circumcentre of triangle ABO1 is on the circle O.(2) Show that the circumcircle of triangle CO1O2 always pass through a fixed point on the circle O, when C is moving along arc BD. geometrycircumcircleincenterratiogeometric transformationgeometry unsolved