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

D Divya Prakash Singh

The steps of constructions are:

(i) Draw a line segment AB = 12.8 cm

(ii) Draw the perpendicular bisector of $\bar{AB}$ which cuts it at C. Thus, C is the mid-point of $\bar{AB}$ .

(iii) Draw the perpendicular bisector of $\bar{AC}$ which cuts it at D. Thus D is the mid-point of .

(iv) Again, draw the perpendicular bisector of $\bar{CB}$ which cuts it at E. Thus, E is the mid-point of $\bar{CB}$.

(v) Now, point C, D, and E divide the line segment $\bar{AB}$ in the four equal parts.

(vi) By actual measurement, we find that

$\bar{AD} = \bar{DC} = \bar{CE} = \bar{EB} = 3.2cm$

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