Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'. The following points list the properties of intersecting lines which help us to identify them easily. When two or more lines do not intersect with each other, they are termed as non-intersecting lines. Observe the following figure of two non-intersecting, parallel lines 'a' and 'b' which show a perpendicular distance denoted by 'c' and 'd'. The following points list the properties of non-intersecting lines which help us to identify them easily.
Example 1: With respect to intersecting and non-intersecting lines, answer the following questions based on the figure given below. They are non-intersecting, parallel lines. Hence, these are non-intersecting lines. Example 2: Identify the pair of lines given below as intersecting or non-intersecting lines.
According to the direction of lines, if such lines are extended further, they will meet at one point. Therefore, the given pair of lines are intersecting lines.
Example 3: Give any two real-life examples of intersecting and non-intersecting lines. Crossroads: When two straight roads meet at a common point they form intersecting lines. Scissors: A pair of scissors has two arms and both the arms form intersecting lines. The Rails of Railway Track: The rails of a railway track that are parallel to each other are non-intersecting lines. When two or more lines cross each other in a plane, they are known as intersecting lines. When intersecting lines cross each other, there is no defined angle at which they meet, it can be any angle.
In other words, all perpendicular lines are intersecting lines, but all intersecting lines may not necessarily be perpendicular lines. Parallel lines never intersect each other and are always the same distance apart, whereas, intersecting lines cross each other and share a common point known as the point of intersection. There are some lines that intersect each other but may not be necessarily perpendicular to each other. When any two lines meet at one common point, they are called intersecting lines.
The common point where they intersect is known as the point of intersection. You have probably had the experience of standing in line for a movie ticket, a bus ride, or something for which the demand was so great it was necessary to wait your turn.
However, in geometry, there are three types of lines that students should understand. Two or more lines that meet at a point are called intersecting lines. That point would be on each of these lines. In Figure 1 , lines l and m intersect at Q. Figure 1 Intersecting lines. Two lines that intersect and form right angles are called perpendicular lines.
Figure 2 Perpendicular lines. Two lines, both in the same plane, that never intersect are called parallel lines.
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