Midpoint
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a line
If a segment bisects one side of a triangle and is parallel to another side, it bisects the third side as well.
It bisects the line segment at midpoint at 90 degrees and its slope is the reciprocal of the line segment's slope plus or minus.
an Auxiliary line segment is also referred to as a angle bisector, it bisects an angle.
To bisect anything is to cut it in half. So if one line segment bisects another line segment, then the second segment is divided into two equal lengths.