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Q4. Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts. Verify by actual measurement.

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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

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Divya Prakash Singh

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