#### How to draw a parallel line from a given line and a point outside the line?

$\begin{array}{l}\text{To construct a line parallel to the other line from an external point we require a ruler and a compass and the following steps are followed:}\\ \text{Given: A line segment AB and a point P that lies out of the line segment AB}\\ \text{To construct a line that is parallel to line AB that passes through point P.}\\ \\ \text{Step 1: Choose any point X on the line segment AB and join it to point P as shown.}\\ \text{Step 2: With X as center and any suitable radius draw an arc cutting the line segment PX at point M and AB at point N respectively.}\\ \text{Step 3: With P as center and radius as used in the previous step draw an arc EF cutting the line segment PX at point Q as shown.}\\ \text{Step 4: With Q as center and same radius as before, draw an arc cutting the arc EF at R as shown below.}\\ \text{Step 5: Join R and P to draw a line segment CD as shown.}\\ \text{ The line segment CD is the required line parallel to the line segment AB and passes through the point P.}\\ \end{array}$