## perpendicular bisector

### A perpendicular bisector is a line, segment, or ray that cuts another line segment into two equal parts and forms a right angle (90 degrees) with it

A perpendicular bisector is a line, segment, or ray that cuts another line segment into two equal parts and forms a right angle (90 degrees) with it. In other words, it is a line that divides a line segment into two equal halves and intersects it perpendicularly.

To find the perpendicular bisector of a line segment, you can follow these steps:

1. Draw the given line segment.

2. Find the midpoint of the line segment by taking the average of the x-coordinates and y-coordinates of the endpoints.

3. Draw a line passing through the midpoint and perpendicular to the given line segment.

4. The line you drew is the perpendicular bisector of the line segment.

The perpendicular bisector is important in geometry and can be used in various applications. For example, in construction, it helps to find the midpoint of a wall, which is crucial for ensuring that doors or windows are centered. It also plays a role in proving theorems and solving geometric problems.

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