Intersecting lines and Non-Intersecting lines

It’s a widespread misconception in geometry that a segment and a line are the same thing. Introduction: It’s a widespread misconception in geometry that a segment and a line are the same thing.

A segment has a distinct start and finish, each of which is represented by a point.

Segments can be anything from the length of a table to the length of a straight road.

A line, on the other hand, has no clear beginning or finish.

A line is a part of a segment, but a segment is not a part of a line.

We may see many straight-line examples all around us, such as the boundaries of buildings and the highways we drive on.

A line is a figure constructed by connecting two points with the shortest distance between them and extending both ends to infinity.

While lines may not have a clear beginning or finish, they are represented in our daily lives by things like railway tracks and freeways.

There are two types of lines: 

1.Lines that cross each other(intersecting lines)

2. Lines that do not cross each other(non-intersecting lines)

Intersecting lines :

Intersecting lines are formed when two or more lines meet at a common point. The point of intersection is the point at which they cross each other.

Intersecting Lines’ Characteristics

The qualities of intersecting lines are listed below to help us detect them quickly.

• Intersecting lines must meet at a single point and not at several points.
• Intersecting lines can meet each other at any angle between 0 and 180 degrees.

Non- Intersecting lines:

Non-intersecting lines are defined as two or more lines that do not intersect with each other.

Non-intersecting Lines’ Characteristics

The features of non-intersecting lines are listed below to assist us detect them quickly.

• Lines that do not intersect never meet and do not share a common point. Parallel lines are another name for them.
• Non-intersecting lines always have the same distance between them.
• Any common perpendicular drawn between two non-intersecting lines always has the same length.

 Examples of intersecting lines in the actual world

Consider real-world instances of intersecting lines as a means to evaluate our comprehension of the notion of intersecting lines. Are there any that come to mind? Here are three suggestions to help you come up with more examples:

• Our scissors are an excellent illustration of items that intersect and share a common point.
• Because they meet at intersecting places, crossroads also depict intersecting lines.
• The floor lines cross over one other and share points of junction.

In coordinate geometry, how do we employ intersecting lines?

• When the intersection points of two graphs of two functions overlap, the intersection point reflects the solution when both functions are equal to each other.
• This also implies that if two lines or graphs cross, their equation will have a solution.
• Points of intersection exist where the x and y axes cross, and they constitute the graph’s x and y-intercepts, respectively.

Non-intersecting lines’ examples:

1. Railway tracks: Because the distance between railway tracks is always the same, the tracks never intersect. As a result, they are non-intersecting lines.
2. Cricket wickets: Cricket wickets are arranged in such a way that they never intersect; hence, they are examples of non-intersecting lines.
3. Electric tower wires: The electric tower wires are all the same length, hence they are an excellent example of non-intersecting lines.
4. Stadium running track: A stadium’s running track is never built to connect.
5. Ladder: A ladder’s two sides never meet, hence it’s an example of non-intersecting lines.

Differences between Intersecting and non-intersecting lines 

• 1. Intersecting lines only meet at one point and cannot meet at more than one, but non-intersecting lines never meet and share no common point. Parallel lines are another name for them.
• 2. Intersecting lines meet at an angle that is always larger than 0 and less than 180 degrees, but non-intersecting lines meet at no angle.
• 3. Intersecting line distances are not always the same, although non-intersecting line distances are always the same.
• 4. A real-world example of intersecting lines: The lines of floors cross one other and share junction locations.

An example of non-intersecting lines in the real world Rail lines: The spacing between railway tracks is always the same, ensuring that the rails never collide.

Conclusion

When two or more lines cross at a single point, intersecting lines are generated. A pair of vertical angles is formed by two intersecting lines.

When two lines do not intersect (cut) or meet at any point, they create non-intersecting lines. There is no angle between non-intersecting lines.