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If a point is on the perpendicular bisector of a segment, then it is:A.on the segment.B.equidistant from the endpoints of the segment.C.equidistant from the midpoint and one endpoint of the segment.D.the midpoint of the segment.SUBMITarrow_backPREVIOUS

Question

If a point is on the perpendicular bisector of a segment, then it is:A.on the segment.B.equidistant from the endpoints of the segment.C.equidistant from the midpoint and one endpoint of the segment.D.the midpoint of the segment.SUBMITarrow_backPREVIOUS

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Solution

The correct answer is B. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Here's why:

  1. A perpendicular bisector of a segment is a line which cuts the segment into two equal parts at 90 degrees.

  2. If a point is on this bisector, it means it is the same distance from both endpoints of the segment. This is because it is located on the line that equally divides the segment.

  3. Therefore, any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

This problem has been solved

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