answer key 8.1 perpendicular bisectors of triangles a company that makes and sells bicycles has its largest stores in three cities. the company wants to build a new factory that is equidistant from each of the stores. given a map, how could you identify the location for the new factory? a sculptor builds a mobile in which a triangle rotates around its circumcenter. each vertex traces the shape of a circle as it rotates. what circle does it trace? explain. suppose you are given the vertices of a triangle pqr. you plot the points in a coordinate plane and notice that segment pq is horizontal but neither of the other sides is vertical. how can you identify the circumcenter of the triangle? justify your reasoning.