Lines - parallel, perpendicular & intersecting
We all have seen railroad tracks which are parallel lines and street intersection which is an example of perpendicular lines.
Thus, we can define parallel and perpendicular lines as follows…
Parallel lines: Two lines ‘l’ and ‘m’ are said to be parallel if
(i) They lie in the same plane
(ii) They do not intersect no matter how far they are extended.
(iii) The distance between two parallel lines is the same everywhere.
Other examples of parallel lines are table top and floor, ceiling and floor etc.
Perpendicular lines: When two lines intersect and make an angle of 90°, we say that the given lines are perpendicular to each other.
Other examples of perpendicular lines are Wall and the ground, flag pole etc.
Example: line AC is perpendicular to line AB and we write line AC ^ line AB
Let us see what are intersecting lines.
Intersecting lines: Two or more lines that meet at a point are called intersecting lines and the point where they meet is called the point of intersection.
We all have seen a road junction where two or more roads either meet or cross each other. An intersection may be 3-way – a T junction or fork, 4-way – a crossroads. All perpendicular lines which we have discussed above are perpendicular lines. Parallel lines, on the other hand are non-intersecting lines.
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