Parallel Lines

In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity.

What are parallel lines in geometry?

Two lines which do not intersect each other at any point even if extended to infinity are called parallel lines.

The lines that always keep the same distance between them are parallel lines. These lines will never meet or intersect each other. There can be more than two lines parallel to each other. We have seen parallel lines on the zebra crossing while crossing the road.

Some more examples of parallel lines are shown below.

$Examples of Parallel Lines$

In the figures given below line AB is parallel to CD and line PQ is parallel to RS.

$Set of Parallel Lines$

Thus, two lines are parallel if;

(i) they lie on the same plane.

(ii) they do not have any common point in between.

(iii) the distance between these two lines always remains same everywhere.

Line l and m are parallel are parallel to each other.

The symbol for parallel lines is ||,

therefore, l || m.

Two rays are parallel if the corresponding lines determined by them are parallel.

Two segments are parallel if the corresponding lines determined by them are parallel.