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:
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 :
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: