Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length 1/2 (AB).
Answers
Steps of Construction of a line segment AB :
(i) On taking A as centre and radius more than ½ of AB construct the arcs on both sides of AB.
(ii) On taking B as centre and of same radius, construct the arcs which cuts the previous arcs at the points P and Q.
(iii) Now join P with Q. line PQ intersects AB at the point C.
(iv) On taking A as centre and radius more than ½ of AC construct the arcs on both sides of AC.
(v)On taking C as centre and of same radius , construct the arcs which cuts the previous arcs at the points R and S.
(vi) Now join R with S . the line RS intersects AB at the point D.
Here, AC = CB = 1/2 × AB
On dividing AC at D
AD = DC are of equal length.
Hence, AD = DC = ½ AC = 1/4 × AB
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Steps of Construction of a line segment AB :
(i) On taking A as centre and radius more than ½ of AB construct the arcs on both sides of AB.
(ii) On taking B as centre and of same radius, construct the arcs which cuts the previous arcs at the points P and Q.
(iii) Now join P with Q. line PQ intersects AB at the point C.
(iv) On taking A as centre and radius more than ½ of AC construct the arcs on both sides of AC.
(v)On taking C as centre and of same radius , construct the arcs which cuts the previous arcs at the points R and S.
(vi) Now join R with S . the line RS intersects AB at the point D.
Here, AC = CB = 1/2 × AB
On dividing AC at D
AD = DC are of equal length.
Hence, AD = DC = ½ AC = 1/4 × AB