Question
Given some line segment $\overline{\text{AB}}$, whose length you do not know, construct $\overline{\text{PQ}}$ such that the length of $\overline{\text{PQ}}$ is twice that of $\overline{\text{AB}}$.
✓
Answer
$1.$Let $\overline{\text{AB}}$ be the given line segment.
$2.$Adjust the compasses up to the length of $\overline{\text{AB}}$.
$3.$Draw any line $l$ and mark a point $P$ on it.
$4.$Put the pointer on point $P,$ and without changing the setting of compasses, draw an arc to cut the line segment at point $X.$
$5.$ Now put pointer on point $X,$ again draw an arc, with the same radius as before, to cut the line $l$ at point $Q.$
$\overline{\text{PQ}}$ is the required line segment.
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