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A point that is equidistant from the two endpoints of a line segment is called the midpoint. The midpoint divides the line segment into two equal parts and can be calculated by averaging the coordinates of the endpoints. In geometric terms, it is the point that lies on the segment at its center.

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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.


What is every point in a plane that is equidistant from the endpoints of a segment?

Every point in a plane that is equidistant from the endpoints of a segment lies on the perpendicular bisector of that segment. The perpendicular bisector is a line that is perpendicular to the segment and passes through its midpoint. Therefore, any point on this line will maintain equal distances to both endpoints of the segment.


If a point is on the perpendicular bisect or of a segment then is it what?

equidistant from the endpoints of a segment -odewah chin chin


Why can a line segment only have one midpoint?

There is only one point on the line segment, which is equidistant from the endpoints.


What is the perpendicluar bisector therom?

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of that segment. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment. This theorem is a fundamental concept in geometry, often used in constructions and proofs.

Related Questions

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.


If a point is equidistant from the endpoints of a segment then it is on?

on the perpendicular bisector of the segment.


If a point on the perpendicular bisector of a segment, then it is?

Equidistant from the endpoints of the segment.


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 on the perpendicular bisector of a segment?

then it is equidistant from the endpoints of the segment- apex


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

on the perpendicular bisector of the segment.


If a point is on the bisector of an angle then it is?

Equidistant from the two sides of an angle.


What is every point in a plane that is equidistant from the endpoints of a segment?

Every point in a plane that is equidistant from the endpoints of a segment lies on the perpendicular bisector of that segment. The perpendicular bisector is a line that is perpendicular to the segment and passes through its midpoint. Therefore, any point on this line will maintain equal distances to both endpoints of the segment.


If a point lies on the perpendicular bisector of a segment then the point is always equidistant from the endpoints of the segment?

true


If a point is on the perpendicular bisect or of a segment then is it what?

equidistant from the endpoints of a segment -odewah chin chin


Is a point equidistant from the endpoints of the line segment the midpoint of the line?

Yes.


What is the mid point?

The midpoint is the point that divides a line segment into two equal parts. It is equidistant from the endpoints of the line segment.