A perpendicular bisector is a straight line drawn at an angle [tex]90^{o}[/tex] to a given line segment and divides the segment into two equal parts. Thus the appropriate answer to the question is option B. Definition of the perpendicular bisector.
A bisector is a line that divides a given line segment into two equal parts. It is always drawn at a right angle to the given line segment, thus sometimes referred to as a perpendicular bisector.
So in the given question, line CD divides AB into two equal halves and it is drawn at an angle of [tex]90^{o}[/tex].
Such that;
<AED = <BED (right angle property)
Therefore, segment CD is a perpendicular bisector of segment AB.
Thus the required answer is option B. Definition of the perpendicular bisector.
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