Angle Bisector is a ray passing through the vertex of the angle and it divides the angle into two congruent angles.

**Properties of Angle Bisector:**

- Each point belongs to the bisector and is located at the same distance between the two sides of the angle;
- The two angles obtained are congruent and adjacent;

In the following figure, we have the angle and its bisector .

To draw the angle bisector of the angle using compass, we follow the following steps:

**Step1:**

We draw two arcs of a circle with center (the vertex of ) and radius so that the first arc intersects with the leg and the second arc intersects with the leg .

**Step2:**

Draw arcs of two circles with radius :

- The center of the first circle is the intersection of the first arc with the leg we obtained in step 1;
- The center of the second circle is the intersection of the second arc with the leg we obtained in step 1;

**Step3:**

We connect by a ray the vertex of the angle with the intersection of the arcs obtained in step 2.

We saw that each angle had an angle bisector. So a triangle that has three angles can have three angle bisectors.

Following the same steps above, we draw the angle bisectors of triangle below:

- The angle bisector of
- The angle bisector of
- The angle bisector of The three angle bisectors intersect at a one point, this point being the center of a
**circle inscribed**with triangle .