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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hints: |dw:1435151622887:dw| Consider point P on the perpendicular bisector PD. Triangles PAD and PBD are congruent (SAS) What can you say about the segments PA and PB?
the same size
Justification?

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sooo the answer would be

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