সমান্তরাল রেখা ছেদ ক‌রে না

Parallel & Intersecting lines$\\$ Two lines in the same plane will always intersect unless they are parallel. Parallel lines are lines that are always the same distance apart and they never intersect. In the real world a good example of parallel lines is a railroad.

The rails on a railroad track are always the same distance apart,they run in the same direction, and they never intersect. The boards(sleepers)between the rails on a track are also parallel because they do not intersect and are the same distance apart. $\\$ Notice that the sleepers and the rails touch. This is called an intersection. The place that two lines intersect at is called an intersection point.

Above is an illustration of a single point that acts as an intersection point for several lines. An intersection point can have infinitely many lines going through it, however two lines can only intersect at one point.

Lines are parallel if: they are always the same distance apart and will never meet.

These two properties really states the same thing--two lines always having the same distance apart implies they will never meet, and vice versa.

Contrary to parallel lines, the distance between intersecting lines varies at different points on the line and the lines intersect at one point. We call this point an intersection.

Test your understanding on parallel and intersecting lines!

There is only one pair of parallel lines, they are highlighted in yellow. This pair of lines have the same distance apart at any given point. If we imagine extending them on both ends, the distance between the lines at any given point will remain the same--which means these lines are parallel.

On the other hand, although the other pair of lines (on the sides) do not intersect in the image, the distance between the lines changes at different points. In fact, if we extend the top ends of this pair of line, they soon intersect.

For those who are up for a little song about parallel, intersecting and perpendicular lines...

This video, by Numberock, talks about the difference between parallel, intersecting and perpendicular lines.

(Video) Angle Basics

by Math Antics

Here is a short clip on parallel and intersecting lines

The video above explained the difference between parallel and intersection lines.