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With a straight-edge and a compass:

  1. Swing arcs from each end of the segment with the compass (without changing the settings)
  2. Connect the intersections of these arcs.
The resultant is a perpendicular bisector of the segment.
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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.


If a point is equidistant from the endpoints of a segment then it must be the midpoint of the segment?

Yes, if a point is equidistant from the endpoints of a segment, it must be the midpoint of that segment. This is because the midpoint is defined as the point that divides the segment into two equal lengths, making it the only point that maintains equal distance to both endpoints. Therefore, being equidistant from both endpoints confirms that the point is indeed the midpoint.


Is a midpoint bisect a segment?

If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.


What is the midpoint of a segment with (-15)and(55)?

To find the midpoint of a segment with endpoints at (-15) and (55), you can use the midpoint formula: ((x_1 + x_2) / 2). Substituting the values, the midpoint is ((-15 + 55) / 2 = 40 / 2 = 20). Therefore, the midpoint of the segment is (20).


How do you find the coordinate of the midpoint of a line segment?

The 'x' coordinate of the midpoint is the average of the 'x' coordinates of the segment's ends. The 'y' coordinate of the midpoint is the average of the 'y' coordinates of the segment's ends.

Related Questions

If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment?

Yes


To construct the midpoint of a given line segment fold the paper so that the given line segment lies on itself and?

the endpoints lie on each other


The midpoint of a given line segment must lie on the given line segment?

true


A line that intersects a segment at its midpoint?

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


What is a midpoint?

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


How do you use the word midpoint in a sentence?

We learned that the midpoint of a segment divides that segment equally.


Is a midpoint bisect a segment?

If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.


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.


To construct a perpendicular bisector to a given line segment one must construct two?

Equilateral triangles


What are pdiports 64?

Use the midpoint calculator to find out the midpoint of a line segment, which is the point that cuts the segment into two equal parts.


Point which divides a segment in half?

the answer is midpoint


What does the midpoint of a segment bisects?

The segment, of course!