Question

Draw a line PQ and take a point A outside it. Through A draw a line parallel to PQ. using rural and compass only

Answer 1

$1$. Given a line PQ with point A outside it.

$2$. Mark point B on the lie PQ join AB.

$3$. Taking B as centre, and any radius, draw an arc intersecting PQ at E, and AB at D.

$4$. With A as centre, and same radius before, draw an arc intersecting AB at F.

$5$. Open compass to length DE.

$6$. Now, with F as centre, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.

$7$. Draw a line m passing through A and H.

Thus m is parallel to PQ, and passing through point A.

$\therefore m||PQ$.