Sample Response: I made a line segment that connected points A and B. I then used the compass setting to make circles with a radius of AB from each endpoint (Gaithersburg/Germantown and Manhattan). This helped me find two points that were equidistant to each hometown. When I construct a line through those two points, I can find the set of all points that are equidistant from Gaithersburg/Germantown and Manhattan. Any town that lies on that line, the perpendicular bisector, would be an ideal location for the family reunion.
Alternative Answer: I used the segment tool to connect points AB to make a line segment. Then I clicked on the perpendicular bisector button. As I reselected the endpoints of A and B the bisector appeared automatically. This allowed me to find the set of all points that are equidistant from Gaithersburg/Germantown and Manhattan. Any town that lies on that line, the perpendicular bisector, would be an ideal location for the family reunion.