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?

Answer 1

if there are answer choices let em know below:
Marcia must find an apartment that is the circumcenter (middle) of the triangle. This point is found by making perpendicular bisectors (passing the midpoint) for the line segments in the triangle. The point they intersect is the circumcenter. It may vary depending on available apartments and desirable qualities in the area.

Answer 2

B. the center of the circumscribed circle of the triangle.

Given is :

The three locations where Marcia travels represent the vertices of a triangle.

Marcia wants to move to an apartment that is equidistant from these three places. She must find an apartment that is at the circumcenter of the triangle.

The circumcenter of a triangle is a point in the plane, which is equidistant from the three vertices of the triangle.