Adjust a compass so the distance between the point and the pencil is more than half of the length of the segment. With the point at one end of the segment draw an arc that intersects the segment. Without adjusting the compass, with the point at the other end of the segment draw an arc that intersects the first arc at two places. The line that includes those two intersecting points is the perpendicular bisector.
A segment bisector or angle bisector. A bisector can be a line, line segment, or ray.
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.
The bisector and the line segment are perpendicular to each other.
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!
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.
In the middle that is where the name bisector comes from.
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!