Saturday 7 July 2012

Parallel Lines

Before going to discuss anything about the parallel lines we should first have an understanding of the term parallelism. The term parallelism is generally used in the geometry which is referred as a property in the space of the Euclidean of 2 or more than 2 lines or the planes or any combination of lines and planes.

We can say that in a plane any 2 lines are said to be parallel if their intersection does not happen or if they do not touch each other at any point. This definition can also be frames in another way as follows. The lines are said to be parallel when their plane is the same and they exist at the same distance in the complete length of the lines. By this we mean that it does not matter at all that how long we are extending the lines, if they are parallel then they will not meet ever. (Know more about Parallel Lines in broad manner, here,)

Now let us discuss about how we show any two parallel lines. For showing that any 2 lines are parallel we make use of the parallel sign which is represented by ||. Thus if we write EF || GH then it means that the line EF is parallel to the line GH.

Let us now pay some attention on the construction of the parallel lines. Suppose we are given a line say x and a point p and we have to construct a line y parallel to the x through the point p. We can make this line y by considering the fact that it should have the same distance from the line x everywhere. There is another way to draw the line y that is we have to consider a random line passing through the point p and crossing the line x at point q. Then we have to take this point q to the infinity.

In order to get more help on the topics: Parallel Lines, College Algebra Problems, icse board papers 2013, you can visit our next article and In the next session we will discuss about supplementary angles.

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