Question

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

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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