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

Question

Philoid · Accepted Answer

Steps of Construction-

1. Draw a line segment AB = 12.8 cm

2. Draw the perpendicular bisector of AB which cuts it at C. Thus, C is the mid-point of AB.

3. Draw the perpendicular bisector of AC which cuts it at D. Thus, D is the mid-point of AC.

4. Again, draw the perpendicular bisector of CB which cuts it at E. Thus, E is the mid-point of CB.

5. Now, point C, D and E divide the line segment AB in the four equal parts.

6. By actual measurement, we find that

AD = DC = CE = EB = 3.2