Answer: Two lines are said to be parallel in a plane if they do not intersect each other even if extended till infinite in both the directions.
Steps to construct a parallel line using ruler and compass are:
Draw a line segment AB and mark any point P above the line AB
Draw a line that intersects the first line using a straightedge and mark it as Point X.
Now we get a line AB and a transverse PX.
Open a compass more than half of the distance between PX. Using this, place the compass on Point X and scribe an arc MN on the transverse PX.
Similarly, using the same distance, scribe an arc by keeping the compass on Point P and mark it as EF. The point where EF cuts PX is Q.
Using this Q as a center, draw an arc marked R on EF.
Join this R and P and extend the line segment and mark is as C and D.
The resultant image is given below.
Step-by-step explanation: