A segment bisector or angle bisector. A bisector can be a line, line segment, or ray.
on the perpendicular bisector of the segment.
No, the definition of a bisector is the point at which a segment is divided into two equal halves. Of course, a segment may be divided further. However, there can be only one bisector of any one segment.
If a point is on the perpendicular bisector of a segment, then it is equidistant, or the same distance, from the endpoints of the segment.
The bisector and the line segment are perpendicular to each other.
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
I line that intersects a segment at its midpoint.
A Segment Bisector
A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.
By definition, a segment bisector always created two congruent segments.
A segment need not be a bisector. No theorem can be used to prove something that may not be true!
The term bisector means that bi is the two of something (a cycle with two wheels is a bicycle, for instance). Therefore a bisector will split a segment, area, angle, into two equal parts.