Question

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

Answer 1

The following steps will be followed to draw the given line segment ${\displaystyle \overline{\text{PQ}}}$ and to construct a copy of ${\displaystyle \overline{\text{PQ}}}$­.

1. Let ${\displaystyle \overline{\text{PQ}}}$ be the given line segment.
   
2. Adjust the compasses up to the length of ${\displaystyle \overline{\text{PQ}}}$
   
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.
   
   ${\displaystyle \overline{\text{AB}}}$ is the required line segment.