Bisector is the semirect that divides an angle from its vertex into two equal parts.
In mathematics, the bisector has the property of dividing an angle into two angles with the same degree.
The easiest way to draw a bisector is by using a compass. To do this, one of the compass points must be placed at the vertex of the angle and cross the two sides that make up the angle creating a point on each side.
Then, a compass tip should be replaced at the points on each side with the same opening in the compass. The encounter of both strokes created from the points on the sides will serve to create the bisector with a ruler from the vertex of the angle.
The bisector in a triangle follows the same logic but comprises the internal angles or the external angles of the triangle.
The three bisectors of the internal angles of a triangle will create an intersection called an incenter and has the characteristic of being the center of the circle inscribed in the triangle.
Bisector and mediatrix
The mediatrix has the same properties as a bisector but divides a line. In addition, the mediatrix is characterized by being perpendicular to the line from which you want to draw.
To draw a mediatrix, a compass must be used by placing one of its tips at the ends of the line, with the same opening, drawing a circle. In this way you will get two points that are intercepted and that will be the points that will mark the passage of the mediatrix by means of the line. The mediatrix will mark the point that will be at the same distance on both sides of the line.