question_answer

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

Answer:

To make a copy of \[\overline{PQ}\], we use the following steps:

Step I: Firstly, draw \[\overline{PQ}\], of any length because length is not known.

Step II: Fix the compasses pointer on P and the pencil end Q. The opening of the instrument now gives the length of \[\overline{PQ}\].

Step III: Draw any line I and choose a point C on it. Without changing the compasses setting, place the pointer on C.

Step IV: Swing an arc that cuts I at a point, say D. Then, CD is copy of \[\overline{PQ}\].