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Question 1:
Draw any line segment
. Without measuring, construct a copy of.Answer:
The following steps will be followed to draw the given line segment and to construct a copy of.(1) Let
be the given line segment.
(2) Adjust the compasses up to the length of
.
(3) Draw any line l and mark a point A on it.
(4) Put the pointer on point A, and without changing the setting of compasses, draw an arc to cut the line segment at point B.
is the required line segment.Question 2:
Given some line segment
, whose length you do not know, construct 
such that the length of is twice that of .Answer:
The following steps will be followed to construct a line segment such that the length of is twice that of .(1) Let
be the given line segment.
(2) Adjust the compasses up to the length of
.
(3) Draw any line l and mark a point P on it.
(4) Put the pointer on P and without changing the setting of compasses, draw an arc to cut the line segment at point X.
(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line l at point Q.
is the required line segment.
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