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Johnson Family Reunion

The Johnson family is planning a family reunion. They would like to select a location that is exactly the same distance from their two hometowns. One family lives in Gaithersburg, MD, and the other family lives in Manhattan, New York.

  1. Use your Geogebra dynamic tools to make a construction on the map that will help you find a location for the family reunion.  Describe how the construction will assist you in determining possible locations.

Grandpa suggests that the family meet in Philadelphia, PA.  Use your construction to explain whether this is an appropriate meeting place

Which city is halfway between Gaithersburg and Manhattan?  How do you know?

Are there any other cities that are the same distance from each family’s hometown?  How do you know?