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  • https://k12.libretexts.org/Bookshelves/Mathematics/Geometry/01%3A_Basics_of_Geometry/1.12%3A_Constructions_and_Bisectors
    This means that one way to find the perpendicular bisector of a segment (such as \(\overline{AB}\)below) is to find two points that are equidistant from the endpoints of the line segment (such as C an...This means that one way to find the perpendicular bisector of a segment (such as \(\overline{AB}\)below) is to find two points that are equidistant from the endpoints of the line segment (such as C and D below) and connect them. This means that one way to find the angle bisector of an angle (such as \(\angle BAC\) below) is to find two points that are equidistant from the rays that create the angle (such as points A and D below).

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