Question

True or false (if false, give an explanation and sketch a counterexample:

5. If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment.
6. The set of all points in the plane that are a given distance from a line segment is a pair of lines parallel to the given segment.

Thank you so much if you can answer these for me! :)

Answer 1

5. If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment. True

6. The set of all points in the plane that are a given distance from a line segment is a pair of lines parallel to the given segment. True