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.
equidistant from the endpoints of a segment -odewah chin chin
There is only one point on the line segment, which is equidistant from the endpoints.
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.
A line segment is defined as having endpoints with the midpoint of the line at its centre
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.
on the perpendicular bisector of the segment.
Equidistant from the endpoints of the segment.
Yes
on the perpendicular bisector of the segment.
then it is equidistant from the endpoints of the segment- apex
Equidistant from the two sides of an angle.
true
equidistant from the endpoints of a segment -odewah chin chin
Yes.
If a point is on the perpendicular bisector of a segment, then it is equidistant, or the same distance, from the endpoints of the segment.
There is only one point on the line segment, which is equidistant from the endpoints.