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"`­.

1. Let `overline"PQ"` be the given line segment.
   
2. Adjust the compasses up to the length of `overline"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.
   
   `overline"AB"` is the required line segment.