Question

Draw a line AB. Take a point P outside it. Draw a line passing through P and perpendicular to AB.

Answer 1

Steps for construction:

1. Draw a line AB.
2. Take a point P outside AB.
3. With P as the centre and a convenient radius, draw an arc intersecting AB at M and N, respectively.
4. With M as the centre and radius more than half of MN, draw an arc.
5. With N as the centre and the same radius, draw an arc cutting the previously drawn arc at Q.
6. Draw PQ meeting AB at S.
PQ is the required line that passes through P and is perpendicular to AB.