Q4. Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.
The steps of construction are:
(i) Draw a line segment AB = 12.8 cm
(ii) Draw the perpendicular bisector AB which cuts it at Q. Thus, Q is the mid-point AB.
(iii) Draw the perpendicular bisector AQ which cuts it at P. Thus P is the mid-point AQ.
(iv) Again, draw the perpendicular bisector QB which cuts it at R. Thus, R is the mid-point QB.
(v) Now, points P, Q, and R divides the line segment AB into four equal parts.
(vi) By actual measurement, we find that
AP = PQ = QR = RB = 3.2 cm