# Locus of points an equal distance between 2 lines

Martin McBride, 2020-08-22
Tags locus
Categories maths gcse geometry

The red line below shows the locus of all points that are an equal distance from two blue lines:

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: