Question

Triangle ABC is circumscribed about Circle O. Use the diagram below to describe Point O.

Point O is equidistant from A, B, and C.
Point O is on the perpendicular bisectors of all three sides of triangle ABC.
Point O is equidistant from AB, BC, and CA.
None of these statements describing Point O are true.

Answer 1

Since this is an obtuse triangle, Point O is not equidistant from A, B, and C. Point O is not on the perpendicular bisectors, so the third statement is true. Point O is equidistant from AB, BC, and CA because these lines are pressed against the circpe in a mannered way.

Answer 2

Answer: Third option: Point O is equidistant from AB, BC, and CA.