In general 'to bisect' something means to cut it into two equal parts.
The 'bisector' is the thing(usually a line) doing the cutting into two
equal parts.
In an
angle bisector, it is a line passing through the vertex of
the angle that cuts it into two equal smaller angles.
In the above diagram, line AD bisects the

.
Each point on the line AD(angle bisector) is equidistant from the
line AB and line AC.
For more information refer to
Angle Bisector.
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