MathDB
Circumcenter lies on bisector ...

Source: Sharygin GO - 2022 - P2 (grade-8)

March 4, 2022
geometrycircumcircle

Problem Statement

Let ABCDABCD be a curcumscribed quadrilateral with incenter II, and let O1,O2O_{1}, O_{2} be the circumcenters of triangles AIDAID and CIDCID. Prove that the circumcenter of triangle O1IO2O_{1}IO_{2} lies on the bisector of angle ABCABC