AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

Explanation

To prove that point P, which lies on the perpendicular bisector of line segment AB, is equidistant from points A and B, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Elements**:
- Let A and B be two points on a plane, and let C be the midpoint of line segment AB.
- Since line l is the perpendicular bisector of AB, it intersects AB at point C and forms right angles with it.

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