Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the end points of that segment
Two column proof
[table][tr][td]Statements[/td][td]Reasons[/td][/tr][tr][td]Line G is the perpendicular Bisector of segment AB [/td][td]Given[/td][/tr][tr][td]C is a point along the perpendicular bisector[/td][td]Given[/td][/tr][tr][td]AC is congruent to BC [/td][td]measurement[/td][/tr][tr][td]C is equidistant from the segment endpoints [/td][td]AC is congruent to BC[/td][/tr][tr][td][/td][td][/td][/tr][/table]