If a point is on the perpendicular bisector of a segment, then it is:A.equidistant from the endpoints of the segment.B.equidistant from the midpoint and one endpoint of the segment.C.the midpoint of the segment.D.on the segment.
Question
If a point is on the perpendicular bisector of a segment, then it is:A.equidistant from the endpoints of the segment.B.equidistant from the midpoint and one endpoint of the segment.C.the midpoint of the segment.D.on the segment.
Solution
The correct answer is A. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Here's why:
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A perpendicular bisector of a segment is a line which cuts the segment into two equal parts at 90 degrees.
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If a point is on this bisector, it means that 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.
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Therefore, any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.
So, options B, C, and D are incorrect.
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