Q2. Given some line segment , whose length you do not know, construct such that the length of is twice that of .
The steps of construction are followings:
(i) Given whose length is not known.
(ii) Fix the compasses pointer on A and the pencil end on B. The opening of the instrument now gives the length of.
(iii) Draw any line . Choose a point P on . Without changing the compasses setting, place the pointer on Q.
(iv) Draw an arc that cuts at a point R.
(v) Now place the pointer on R and without changing the compasses setting, draw another arc that cuts at a point Q.
Thus is the required line segment whose length is twice that of AB.