Relative positions between two lines

One straight it is a set of points. Its geometric representation is given by a flat geometric figure, formed by a lineonly, straight, infinite for two directions and, therefore, does not make any curve in its entirety.

Two straight contained in the same flat they can interact in some different ways, generating concepts, definitions and properties. The set of possible interactions between two lines is called relative positions. Are they:

parallel lines

two straights are parallel when they do not have any common ground along their entire length. An interesting property about these straight is that the distance between them will always be the same, regardless of the point chosen to measure them. The following image is an example of two parallel lines:

Also read: What are parallel lines

Competing lines

two straights are competitors when they have a single point of intersection. Competing lines form four angles, congruent two to two. When one of them measures 90°, the concurrent lines are called perpendicular. The image shows an example of competing lines:

Also read: What are straight competitors

when two straight they are competitors, the angles formed can be classified as adjacent or opposite by the vertex. Two angles opposite by the vertex are congruent. Two adjacent angles are supplementary. Furthermore, two perpendicular lines are always concurrent, but not always two concurrent lines are perpendicular.

Also read: Types of lines

Coincident lines

Two lines are coincident when all points on the first are also points on the second and vice versa.

It is common to find authors who state: two lines are coincident when they have two or more points in common. This type of relationship is based on a result of geometry: if two lines have at least two points in common, then all points on the first are points on the second.

We can also say that two straightcoincident are actually a single line, as shown in the following figure:

By Luiz Paulo Moreira
Graduated in Mathematics

Source: Brazil School - https://brasilescola.uol.com.br/matematica/posicoes-relativas-entre-duas-retas.htm

Taylor Swift fans profit from unusual concert souvenirs

Taylor Swift fans profit from unusual concert souvenirs

Taylor Swift is touring the United States with The Eras Tour. You shows have the mission of refer...

read more

After all, does sleeping in excess bring any danger to health?

Sleep is an important factor for maintaining human health, so it is essential to sleep the time i...

read more

Find out which fruit of happiness will improve your mood and fight depression

We all know that the fruits guarantee excellent benefits for our health, as they have vitamins, m...

read more