The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.
A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.
A locus is a point that satisfies a constraint on the square of the distances between two lines.
The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.
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