Question

Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located?

the center of the inscribed circle of the triangle

the center of the circumscribed circle of the triangle

the point of intersection of the angle bisectors for the triangle

the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle