The bisector as a locus

Remark

The bisector of an angle formed by two lines $r$ and $s$ is the locus of the points of the plane that are equidistant from $r$ and from $s$: $P \in b \iff d(P, r) = d(P, s).$ Note that the two lines form two (supplementary) angles and therefore have two bisectors, mutually perpendicular.

Links

Topics: Loci
Concepts: Bisector · Point–line distance · Locus · Line
Skills: Analytic geometry