Thursday 2 February 2012

Properties of lines

In the Earlier sections we have discussed about converting whole numbers to fractions and also discussed about Math problems related to it and now we are starting with a new topic that is Properties of lines which is an important part of every education board, When a Line segment extends endlessly in both the directions such that it has no starting or end point and has no fixed length is called a line.(want to Learn more about Line, click here),
Some of the properties of lines are:
1. A line cannot be drawn on a paper as it extends endlessly. So to represent any line we mark arrow signs at both its ends.


Represents a line
2. Intersecting lines: Two lines are called intersecting lines when they both meet at a point. This point is called the point of intersection of two lines.

Lines m and n are intersecting lines.                       
3.  Parallel lines: Two lines are called parallel, if they do not meet at all, which means that the perpendicular distance between the two lines is equal at all the points. It is said that the two parallel lines never meet.
                               <------------------------------------------> m
                                <------------------------------------------> n
Here, we have lines m and n as the pair of parallel lines.

4. A line has no fixed length.
5. When two lines are parallel and they both are intersected by any third line, then this intersecting line is called a transversal.
 6. When a pair of angles combine together to form a straight line, i.e. the sum of two angles is 180 degrees then it is called a linear pair.

Here AOC + COB = 180
So   AOC and COB form a linear pair

 7. Following properties are true for a pair of parallel lines, if there is a transversal passing from a pair of parallel lines
     a) Interior Alternate angles are equal
     b) Corresponding angles are equal
     c) Interior consecutive angles are supplementary
This is all about the Properties of lines and if anyone want to know about Geometry then they can refer to Internet and text books for understanding it more precisely. You can also refer Grade 8th blog for further reading on Representations of data.

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