Question

Dlaws
.. Given some line segment AB, whose length you do not know, construct PQ
such that the length of PQ is twice that of AB.​

Answer 1

Steps of construction: (i) Given AB bar 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 AB bar . (iii) Draw any line 'l ' Choose a point P on 'l ' Without changing the compasses setting, place the pointer on Q. (iv) Draw an arc that cuts 'l ' at a point R. (v) Now place the pointer on R and without changing the compasses setting, draw another arc that cuts 'l ' at a point Q. (vi) Thus PQ bar is the required line segment whose length is twice that of AB