A line which meets another line at right angles is called perpendicular line. A bisector cuts a line into two equal parts. Therefore perpendicular bisector is a line which cuts another line segment into two equal parts at \(90\) degrees (right angle).
Construction of a perpendicular bisector line:
Step 1: Draw a line segment PQ.
Step 2: Using a compass, with P as a centre and radius more than half of the length of line segment PQ, draw two arcs of the same length one above the line PQ and one below PQ.
Step 3: With the same radius, Q as centre draw two arcs to cut the arcs drawn in step 2. Mark the point of intersection of arcs as R and S.
Step 4: Join the line R and S, name the point of intersection as O. This point is called midpoint of the line PQ. RS is the required perpendicular bisector of line PQ.