Theorem on the property of points lying on the bisector of an angle

To begin with, let’s define what a bisector and an undeveloped angle are:

A bisector is a ray that radiates from the top of an angle and bisects that angle.

An undeveloped angle is an angle with a degree less than 180 ‘.

So:

Theorem: Each point of the bisector of an undeveloped angle is equidistant (equidistant) from its sides.

Theorem (converse): A point lying inside an undeveloped corner and equidistant (located at an equal distance) from its sides lies on the bisector of this angle.

Generalized theorem: The bisector of an unfolded angle is a set of points in the plane that are equidistant (equidistant) from the sides of this angle.

Based on these theorems, one more definition of the bisector can be given:

The bisector of an angle is the locus of points equidistant from the sides of a given angle.