Question

Draw any line segment $\overline{PQ}$ without measuring $\overline{PQ}$. Construct a copy of $\overline{PQ}$.

Answer 1

The following steps will be followed to draw the given line segment $\overline{PQ}$ and to construct a copy of $\overline{PQ}$.
$\left(1\right)$ Let $\overline{PQ}$ be the given line segment.
$\left(2\right)$ Adjust the compasses up to the length of $\overline{PQ}$.
$\left(3\right)$ Draw any line l and mark a point A on it.
$\left(4\right)$ Put the pointer on point A, and without changing the setting of compasses, draw on arc to cut the line segment at point B.
$\overline{AB}$ is the required line segment.