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How can you get geometry answer key?
Explain why a line segment can have one midpoint but many bisectors
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 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.
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.
