Q

# Draw any line segment PQ . Without measuring PQ , construct a copy of PQ .

Q1.    Draw any line segment $\overline{PQ}$. Without measuring $\overline{PQ}$, construct a copy of $\overline{PQ}$.

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The steps of constructions are the following:

(i) Given $\bar{PQ}$ whose length is not known.

(ii) Fix the compasses pointer on P and the pencil end on Q. The opening of the instrument now gives the length of $\bar{PQ}$.

(iii) Draw any line $'l'$. Choose a point A on $'l'$. Without changing the compasses setting, place the pointer on A.

Draw an arc that cuts  at $'l'$ a point, say B. Now $\bar{AB}$ is a copy of $\bar{PQ}$ .

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