# Locus of points an equal distance between 2 points

Martin McBride

2020-08-22

The locus of all points that are an equal distance from two given points A and B is shown in red below:

If you draw a line between A and B, the locus is the perpendicular bisector of that line (that is, it cuts the line in half, and is at right angles to it).

This topic is also covered by this video:

## See also

- Locus of points a fixed distance from a given point
- Locus of points a fixed distance from a given line
- Locus of points an equal distance between 2 lines

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