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Prove that all the points on a perpendicular bisector of a line segment AB are equidistant from the endpoints of the segment AB.

Question

Prove that all the points on a perpendicular bisector of a line segment AB are equidistant from the endpoints of the segment AB.

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Step 1

Statement:

All the points on a perpendicular bisector of a line segment AB are equidistant from the endpoints of the segment AB.

Perpendicular bisector:

A perpendicular bisector is a perpendicular line that divides another line into two equal measures.

Consider the point P is on the perpendicular bisector l of the line segment AB and M be the point of intersection of the line segment AB and the line l.

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Tagged in

Math

Geometry

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