Parallel Lines
In the above images, what observations do we make? Lets have some fun. Move the lines around and see if you can make them intersect. Go ahead. Give it a try.
Are there intersecting line segments?
If it appears that they intersect at more than one point, then what you are observing is not an intersection but rather a
The line segments will never meet, however far they are extended.
Lines like these are said to be parallel; and are called
Let's take the example of a table. Take the edges of the table that are opposite to each other. What can be concluded? They are an example of
Let's continue!
A surface is that which has length and breadth only.
What about the adjacent sides of a table? They seem to meet at the corner of the table. Thus, they are an example of
Yes, AB and BC intersect at the point
Which line segments intersect at A?
at C?
at D?
Do the lines AD and CD intersect?
Do the lines AD and BC intersect?
You find that on the table’s surface there are line segment which will not meet, however far they are extended. AD and BC form one such pair. Can you identify one more such pair of lines (which do not meet) on the top of the table?
Lines like these which do not meet are said to be parallel; and are called parallel lines.
Give a few examples for a pair of parallel lines from your surroundings.
If two lines say, AB and CD are parallel, we write AB || CD.
Some examples of parallel lines that we can see in real-time include:
Railway Tracks
Opposite Edges of Ruler
Colour pencils lined up together