Question

The towns of Ridgeway, Springboro, and Trenton are located at points R, S, and T respectively on this map. A radio tower will be placed at the center of a circle that passes through all three towns. Which intersection will locate the center of the circle?

a) Intersection of RS
b) Intersection of ST
c) Intersection of RT
d) Intersection of RST

Answer 1

The center of the circle that passes through all three towns can be found at the intersection of RT.

Step-by-step explanation:

The center of the circle that passes through all three towns, Ridgeway, Springboro, and Trenton, can be found at the intersection of RT.

To determine the center of the circle, we need to find the perpendicular bisectors of two of the sides of the triangle formed by the towns. In this case, we can find the perpendicular bisectors of RS and RT.

The intersection of these two perpendicular bisectors will give us the center of the circle.

Therefore, the correct intersection to locate the center of the circle is RT.