The locus of a point equidistant from two intersecting lines is

Question

Answer 1

The locus of a point equidistant from two intersecting lines is

where the sum of the distances of two focal points is fixed.
the collection of points that are equally distant from a fixed point and a line
pair of bisectors of the angles between the two lines. ✓
the perpendicular bisector of the lines.

Explanation

Any point on the bisector of an angle is the same distance from both arms of that angle. Two intersecting lines make two pairs of angles, so there are two bisectors.

So the locus is the pair of bisectors of the angles between the two lines.

Was this explanation helpful?

Something wrong or missing? Tell us — we read every report and fix issues fast.