Concept in Definition ABC

The bisector is the line that divides into two equal parts at an angle; it is the geometric place of the points of the plane that are equidistant, that is, they are at the same distance of the rays of an angle. It is worth noting that it is called geometric place to the set of points that satisfy certain geometric properties and ray to each of the two parts into which a line is divided by any of its points, that is, it is the part of the line formed by all the points that are located towards one side of the fixed point of the straight; it has a first point or origin and like the rest of the lines it extends towards the infinite.

Meanwhile, the bisector point will turn out equidistant to the two lines of the angle. As a consequence of the reciprocity, when two lines intersect they will determine four angles and each of them will define a bisector.

On the other hand, in triangles, the three bisectors of the internal angles of a triangle will be cut at a single point, which will be shown equidistant

respect from the sides; at this point it is known as incenter of the triangle and will be the center of the circumference inscribed to the triangle in question.

The theorem of the bisector of the internal angle of a triangle is a theorem that corresponds to the geometry elementary and holds that in a triangle, the ratio between two sides will be equal to the ratio of the parts into which the third side will be divided by the bisector of the opposite internal angle.

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