Segment bisector
a segment, ray, line, or plane that intersects a segment at its midpoint
A segment bisector is a line or plane that intersects a given segment at its midpoint. In other words, a segment bisector is a line that divides a line segment into two equal parts.
Here are some important points about segment bisectors:
1. A segment bisector must pass through the midpoint of the given segment.
2. A segment can have multiple bisectors. For example, a line perpendicular to the given segment passing through its midpoint is also a segment bisector.
3. If two segments have the same length and share a common endpoint, then their segment bisectors coincide.
4. Segment bisectors can be used to solve a variety of geometric problems, such as finding the center of a circle circumscribed about a triangle.
Overall, segment bisectors play an important role in geometry and are used to study various properties of lines and polygons.
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