Question

Take any line $AB$. Take a point $P$ outside the line.Through $P$ drawing, a line parallels to $AB$. Use ruler and compass only.

Answer 1

Step 1

Draw a line $AB$ with a point $P$ outside it.

Step 2

Mark point $D$ on the line $AB$.Join $PD$

Step 3

With $D$ as center and any radius, draw an arc intersecting $ABatE$, and $PDatF$

Step4

With $P$ a center, and the same radius as before, draw an arc intersecting $PDatG$ and cutting the previous arc at $H$

Step 5

Draw a line $m$ passing through $PandH$

Hence, line $m$ is parallel to $AB$.