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Does a midpoint bisect a segment?

Then yes it does... It divides it in half.

Q: Is a midpoint bisect a segment?

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No. Since a line is infinite, it has no mid-point. A bisector must go through a midpoint so nothing can bisect a line (not even a segment).

To find its mid point. Which then raises the question why find its midpoint and I cannot answer that.

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.

A midpoint is in the middle of the line but does not bisect it because it is just a point on that line and does not cross the line.

Bisect a segment is to divide the line segment into 2

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No. Since a line is infinite, it has no mid-point. A bisector must go through a midpoint so nothing can bisect a line (not even a segment).

To find its mid point. Which then raises the question why find its midpoint and I cannot answer that.

Take a compass, extend it about 3/4 of the length of the segment. Then from one end of the segment, draw a 180 degree arc. From the other end draw another arc. Connect the points where the arcs intersect. Where the line intersects with the segment is the midpoint of the segment. That is how you bisect a segment to find the midpoint - geometrically.

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.

No

A midpoint is in the middle of the line but does not bisect it because it is just a point on that line and does not cross the line.

Bisect a segment is to divide the line segment into 2

No

False that is to find the perpendicular bisect.

Yes they bisect each other at their midpoint

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

Yes. it is possible to bisect a segment with a perpendicular segment. Follow the link to learn how to do it: http://www.mathopenref.com/constbisectline.html