The four points below represent dorms at Eastern Geometry University. The university would like to build a fitness center that is equidistant to all four dorms. Find the point where the fitness center should be located. Then measure the appropriate segments to verify that the distances from each dorm to the fitness center are all the same.

The three points below represent dorms at Western Geometry University. The university would like to build a fitness center that is equidistant to all three dorms. Find the point where the fitness center should be located. Then measure the appropriate segments to verify that the
distances from each dorm to the fitness center are all the same.
When you are done. Drag points A, B, and C to verify that the fitness center location will always be equidistant to the dorms.