Follow these steps to solve Exercise 12a with geometry software.
a. Open a new sketch. Define a coordinate system and plot three points, A, B, and C, that represent the locations of Ashton, Bradburg, and Carlville.
b. Connect the three points with line segments. Construct the perpendicular bisector of each segment. What happens with the perpendicular bisectors? Did you really need to construct all three bisectors?
c. Locate the intersection of the perpendicular bisectors. Do the coordinates of the intersection agree with your answer to Exercise 12a?
d. Construct a circle using the intersection of the perpendicular bisectors as the center and A, or B, or C as a point on the circle. Describe what happens. How does this confirm that the recreation center is equidistant from all three towns?