What is the locus of two intersecting lines?

The locus of two intersecting lines consists of all points that are equidistant from the lines. This is represented by the angle bisectors formed where the two lines intersect. The angle bisectors divide the angles formed by the intersecting lines into two equal parts and represent the set of points that maintain equal distance to both lines.

In the case of intersecting lines, there are two angle bisectors – one for each pair of opposite angles formed at the intersection. Each bisector accurately reflects the position of points that are equidistant from the two intersecting lines, effectively defining the locus of those points.

The other options do not represent the accurate locus of the intersecting lines. A single line implies a single dimension, which does not capture the nature of the dual angle formed by intersecting lines. Two perpendicular angle bisectors could misinterpret the configuration unless specified further, as not all intersecting lines are at right angles. Lastly, while all points equidistant from the lines may seem accurate, it is more precise to identify the angle bisectors specifically as this reflects their geometric relationship and the definition of their locus points.