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

A. the midpoint of the segment.
B. equidistant from the endpoints of the segment.
C. equidistant from the midpoint and one endpoint of the segment.
D. on the segment.

Respuesta :

Answer:B equidistant from the endpoints of the segment.

Step-by-step explanation:

The bisector passes through the midpoint, then any point on the bisector is equidistant to both endpoints. Therefore, the correct answer is B.

What is Bisector?

A bisector is something that cuts an object into two equal parts. It is applied to angles and line segments. In verb form, we say that it bisects the other object.

To create a perpendicular bisector of a segment, it is a line drawn through the midpoint of the segment. Although one would immediately think that (A) would be the answer, just because a point is found on the perpendicular bisector, doesn't mean that it is immediately the midpoint. Although the midpoint is definitely found on the segment, there are numerous other points found on the segment. The midpoint is a point equidistant to both endpoints. Since the bisector passes through the midpoint, then any point on the bisector is equidistant to both endpoints.

Hence, The bisector passes through the midpoint, then any point on the bisector is equidistant to both endpoints.

Learn more about line segments:

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