Question

Question 1

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

Answer 1

Steps of construction:
(i) Given $\overline{PQ}$ 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 $\overline{PQ}$.
(iii) Draw any line '$l$'. Choose a point A on '$l$'. Without changing the compasses setting, place the pointer on A.
(iv) Draw an arc that cuts '$l$' at a point, say B. Hence, $\overline{AB}$ is the copy of $\overline{PQ}$.