Question

Draw a line segment of length 6 cm. Construct its perpendicular bisector. Measure the two parts of the line segment.

Answer 1

Steps of construction:

1. Draw a line segment AB = 6 cm
2. With centre A and radius more than `1/2 (AB)` draw the arcs on each side of AB.
3. With centre B and same radius draw the arcs on each side of AB, which cuts the previously drawn arcs at X and Y.
4. Join XY which cuts the line segment AB at O.
   Thus XY is the perpendicular bisector of AB.
   On measuring the two parts, we get AO = OB = 3 cm.