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segment bisector

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10y ago

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Why does a line segment have one midpoint and can have many bisectors?

A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.


What is a line perpendicular to a line segmentt and passing through its midpoint?

There is no name for it except "A line perpendicular to a line segment and passing through its midpoint".


What is a line ray or segment that passes through the midpoint of another segment?

A segment bisector


A line that intersects a segment at its midpoint?

A line that intersects a segment at its midpoint bisects the segment.


Why a line segment has only one midpoint but can have many bisectors?

All bisectors intersect the line segment at the midpoint. There can be multiple bisectors, intersecting at the midpoint at different angles, but they all intersect the line segment at its midpoint. The midpoint separates the line segment into two equal halves.


Does the midpoint of a given line segment must lieon the given line segment?

Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.


Is The midpoint of a given line segment must lie on the given line segment?

Yes, the midpoint of a given line segment must lie on that line segment. The midpoint is defined as the point that is equidistant from both endpoints of the segment, effectively dividing it into two equal parts. Therefore, by definition, the midpoint cannot exist outside of the line segment itself.


What is a perpendicular bisector of a line segment?

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.


What are some examples of segment bisector?

A segment bisector is a line, ray, or segment that divides a segment into two equal parts. Examples include the perpendicular bisector of a line segment, which intersects the segment at its midpoint at a right angle, and a midpoint connector that connects the midpoints of two segments. Additionally, any line that passes through the midpoint of a segment and extends in both directions can also be considered a segment bisector.


What are perpendicular bisectors?

A line that is perpendicular to the segment of a plane and passes through the midpoint.


What is a midpoint?

A point on a line segment that divides the segment into two equal parts is a midpoint.


A line segment may have more than midpoint?

A line segment cannot have more than one midpoint or else you will be creating multiple line segments that are connected to each other. A line segment can only have one midpoint.