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Question
a line is a set of all points that: a. have the same difference of distances from two points. b. are the same distance from one point. c. have the same sum of distances from two points. d. are the same distance from two points.
A line is the set of all points that are equidistant from two given points. This is based on the geometric property of a line as the perpendicular - bisector of the line - segment joining two points. Points on the perpendicular - bisector of a line segment have the same distance from the two endpoints of the line segment.
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D. are the same distance from two points.