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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.
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Explain why a line segment can have one midpoint but many bisectors
How many bisectors could a segment have?
A segment has exactly one bisector. This bisector is a line (or line segment) that divides the original segment into two equal parts and is perpendicular to it. No matter the length of the segment, the unique bisector will always pass through the midpoint of the segment.
How many lines in a plane could be perpendicular bisectors of a segment?
In a plane, there are infinitely many lines that can serve as perpendicular bisectors of a given segment. The unique perpendicular bisector of a segment is a specific line that divides the segment into two equal parts at a right angle. However, any line parallel to this unique bisector, at any distance, can also be considered a perpendicular bisector if it intersects the segment at its midpoint. Thus, while the unique perpendicular bisector exists, an infinite number of lines can be drawn parallel to it.
How many perpindicuar bisectors can a line segment have?
Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.
How many perpendicular bisectors can be constructed for a line segment?
Exactly one. No more, no less.
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.
How can you get geometry answer key?
Explain why a line segment can have one midpoint but many bisectors
How many bisectors can a line segment have?
1
How many perpendicular bisectors can a line segment have?
Only one.
How many midpoints does a line segment contain?
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.
How many perpindicuar bisectors can a line segment have?
Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.
How many perpendicular bisectors can be constructed for a line segment?
Exactly one. No more, no less.
How many midpoints can a line segment contain?
infinitely many * * * * * No. There can be only one midpoint.
Does a line segment have many bisectors?
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).
How many bisectors are in a segment?
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.
Every segment has how many perpendicular bisectors?
2
How many segment bisectors can a segment have?
One ! The word 'bisect' means to cut in two !
