Equidistant

From AoPSWiki

Equidistant means "at the same distance."

Thus, for instance, if triangle is isosceles with base , points and are equidistant from point .

Similarly, the perpendicular bisector of a line segment is the set of points equidistant from the endpoints. So, given segment and a point such that , we know (by definition) that is on the perpendicular bisector of . Also, given on the perpendicular bisector of , we know that .

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