Question

draw a line segment of length 12.8 CM using compass divide it into 4 equal parts verified by actual measurement

Answer 1

(i) Draw a line segment AB = 12.8 cm

(ii) Draw the perpendicular bisector of AAB¯which cuts it at C. Thus, C is the mid-point of .AB¯.

(iii) Draw the perpendicular bisector of AC¯which cuts it at D. Thus D is the mid-point of .

(iv) Again, draw the perpendicular bisector of CB¯ which cuts it at E. Thus, E is the mid-point of CB¯.

(v) Now, point C, D and E divide the line segment AB¯ in the four equal parts.

(vi) By actual measurement, we find that

AD¯=DC¯=CE¯=EB¯=3.2AD¯=DC¯=CE¯=EB¯=3.2 cm