Best Answer

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.

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

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

it depends on how long or how many joining segments it has. normally one line segment contains only one midpoint. Unless it has a joining segment there is only one midpoint.

An ellipse has two lines of mirror symmetry: the line that includes the two foci of the ellipse and the perpendicular bisector of the segment of that line between the two foci.

5 line segments

5 line segments

Only two are necessary to define a line. But infinitely many are required to DRAW it.

Related questions

Explain why a line segment can have one midpoint but 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.

1

Only one.

it depends on how long or how many joining segments it has. normally one line segment contains only one midpoint. Unless it has a joining segment there is only one midpoint.

Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.

Exactly one. No more, no less.

infinitely many * * * * * No. There can be only one midpoint.

no-- It only has one. Since it is a segment, it has a definite start and end, so it has only one middle (the bisector).

Infinitely many. Each line segment contains one point which bisects it. Any one of the infinite lines through that point, apart from the original line, is a bisector.

2

One ! The word 'bisect' means to cut in two !