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Yes. It is a theorem. To prove it, use contradiction.

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14y ago

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Why a line segment cannot have two midpoint?

A line segment cannot have more than one midpoints because the midpoint is the halfway point between (or the middle of) the line segment, and the midpoint is exactly halfway between the beginning and exactly halfway between the end of the line segment, not a third of the way, etc.


Can a line segment have two midpoints?

No. Any line segment has exactly one midpoint.


A line that intersects a segment at its midpoint?

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


Does a line segment have two midpoints?

No. The midpoint of a line segment is the single point exactly halfway between each endpoint.


Every line has exactly one midpoint?

Yes


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.


What is the different between a perpendicular bisector and a midpoint?

A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.


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 midpoint?

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


What is a segment bisector?

I line that intersects a segment at its midpoint.


Midpoint of a segment?

The middle point of a line segment.