Draw a line PQ and take a point A outside it Using rules and compasses, draw a line through A parallel to PQ.
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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.
∴m∣∣PQ.
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