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If a point is on the perpendicular bisector of a segment then it is equidistant from the endpointsnof the segment.
A. converse of the perpendicular bisectoe theorem
B. Angle bisector theorem
C. Perpendicular Bisectpr theorem
D. Converse of the angle bisector theorem

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claudettoterohil
Your answer would be, The Perpendicular Bisector Theorem.



Converse of the perpendicular bisector theorem states, If a point is equidistant from the endpoints of the segment, then it is on the perpendicular bisector of the segment.


Angle Bisector Theorem states, If a point is on the angle bisector, of an angle, then it is equidistant from the sides of the angle.



Converse of the Angle Bisector Theorem, states If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.




Hope that helps!!!

The correct theorem that represent the situation will be option C. Perpendicular Bisector heorem.

What is the Converse of the perpendicular bisector theorem?

The Converse of the perpendicular bisector theorem states that If a point is equidistant from the endpoints of the segment, then it is on the perpendicular bisector of the segment.

Now,

The Angle Bisector Theorem states that If point is on the angle bisector, of an angle, then it is equidistant from the sides of the angle.

Also,

The Converse of the Angle Bisector Theorem states that if a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.

For the given statement that is If a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment.

Therefore, the correct theorem that represent the situation will be option C. Perpendicular Bisector theorem.

Learn more about concept;

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