5.1: Perpendicular and Angle Bisectors
Definitions:
Equidistant - One point is the same distance from two or more objects
Locus - A set of points that satisfies a given condition
Theorems:
Perpendicular Bisector Theorem - If a point is one the perpendicular bisector of a segment then in is equidistant from the endpoints of the segement
Definitions:
Equidistant - One point is the same distance from two or more objects
Locus - A set of points that satisfies a given condition
Theorems:
Perpendicular Bisector Theorem - If a point is one the perpendicular bisector of a segment then in is equidistant from the endpoints of the segement
Converse of the Perpendicular Bisector Theorem - If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segmen
Angle Bisector Theorem - If a point is on the bisector of an angle, then it is equidistant from the sides of the angle
Converse of the Angle Bisector Theorem - If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle
Examples: