Angle Bisector

The angle bisector is a line or segment that divides an angle into two smaller angles of equal measure.

In other words, it is the line that passes through the vertex of an angle and splits it exactly in half.

In such cases, the two parts of the angle are said to be congruent.

What does it mean for two angles to be "congruent"? Two angles are congruent when they have the same measure, the same width, as in the case of the angles created by a bisector.

For example, if you have a 60-degree angle and draw a bisector through it, you will get two 30-degree angles.

No matter how large or small the angle is, the bisector will always divide it into two identical parts.

Angle bisectors are often used in geometry to solve problems and construct geometric figures.

You can draw a bisector for any type of angle—acute, obtuse, or right.

How to Draw an Angle Bisector

To draw the bisector of an angle, use a compass to mark two points, A and B, on the angle’s sides, equidistant from the vertex O.

Without changing the compass width, place the compass tip on one of the marked points (e.g., A) and draw a small arc within the angle.

Repeat the same process with the compass centered on the second point (B).

The line connecting the vertex O of the angle to the point C, where the two arcs intersect, is the angle bisector.

As you can see, the angle has been divided into two equal, or congruent, parts.