Geometry

Triangle Centers

The circumcenter is the intersection of which 3 lines in a triangle?

Which of the following triangles has its circumcenter outside of it?

Which diagram shows a circumcenter?

Given the coordinates of the vertices of a triangle, how can we get the circumcenter of the triangle?

In triangle $ABC$ , $A = (0,0)$ , $B = (0, 4 )$ and $C = (14, 0)$ . What are the coordinates of $O$ , the circumcenter of triangle $ABC$ ?

(2, 7)

(14, 4 )

(4, 14 )

(7, 2 )