Table the Contents


You are watching: A line intersecting a plane in real life

2.Parallel Lines
3.Skew Lines
4.Perpendicular lines
5.Parallel currently in real life
6.Perpendicular currently in actual life
7.Equivalence Relation


'Parallel and perpendicular lines', you could think these are just species of lines and how will it affect real life, but after going with this blog, I assure you the your perception about these lines will change.

Parallel lines

Parallel lines space nothing but lines in a airplane that perform not meet.

We can additionally say parallel lines are straight present in a airplane that do not crossing at any common point.

In an easy for simple understanding, I would certainly say, “Lines in a aircraft that execute not meet each other, simultaneously have no common point” are claimed to be parallel.


Skew Lines

These lines exist in two dimensions and also three dimensions of geometry. In three-dimensional geometry, we come throughout a brand-new line that is ‘skew lines’. This lines space nothing yet two lines but do no intersect and they are likewise not parallel.

The main difference in between parallel and skew currently is the the previous lies in the same plane but the latter lies in the different planes.

Interesting facts around parallel lines

We can speak to interesting truth mathematically as properties.

Let us see a couple of of them.

Parallel currently are constantly equidistant from each other.They perform not fulfill at any common point.They can be expanded indefinitely in both directions.Parallel lines are coplanar lines.If m1 and m2 space the slopes of 2 lines, if they are parallel, us say

Perpendicular Lines

Two distinct lines intersecting each other at a right angle are referred to as perpendicular lines. This lines touch each other at one point.

In smaller classes, we have actually gone v elementary geometry whereby perpendicular lines mean the relationship in between two currently which satisfy at a suggest and the allude to a appropriate angle other.

Interesting facts about perpendicular lines

This line always intersects at ideal angles.If 2 lines are perpendicular come the exact same line, they space parallel and also will never ever intersect.Perpendicular lines always intersect, however the converse is no true; the is us can't speak intersecting lines are always perpendicular.If two lines space perpendicularly representing the slope then

Parallel lines in actual life

First, we view a practical example. Let united state take two cities

Delhi and Bhopal. Over there is a zero percent possibility that these 2 cities satisfy each other.

They don’t have a common allude to meet.

In actual life, we see parallel present in:

Railway tracksFour-way lanes, six-way lanes the roadsOpposite sides of blackboard and also whiteboardOpposite walls or doors in a roomArrangement in a queue

Railway track through parallel lines

Perpendicular lines in real life

In real life, the adhering to are examples of perpendicular lines:

Football fieldRailway monitor crossingFirst help kitConstruction of a home in which floor and also the wall surface are perpendicularsTelevisionDesigns in windows

Television with perpendicular edges

Equivalence Relation

There is a relation referred to as equivalence relation which relates parallelism and also perpendicularity, i m sorry is identified by reflexive, symmetric, and transitive.

Take 3 friends A, B, and also C


Any friend is a girlfriend to himself, i beg your pardon is recognized as reflexive, i m sorry is a an easy fact that always I love myself; this is an essential psychology.


Let united state take 2 friends A and also B if A is a friend of B, climate B is a girlfriend of A i m sorry is denoted through perpendicularity the is A perpendicular come B and also B perpendicular to A. They space meeting each various other on a typical point.


Take 3 friends A, B and also C. Three room a girlfriend to each various other which we have the right to relate to parallel lines the is A is a girlfriend to B, B is girlfriend to A and B girlfriend to C and C come A which can be well stood for by three parallel currently standing one after an additional not intersecting or conference each other however in valuable life meeting through online setting via Skype, Zoom according to the recent technology.

If three problems are satisfied, the is known as equivalence relations.


Parallel and perpendicular lines are making its applications in a vast area. Though we learned a few, that is up to the reader to explore more things on these lines, which would certainly be more interesting because that them to walk ahead. These lines assist many world in fulfilling their activities in day-to-day life.

See more: Is The Driver'S Side The Left Or Right Side Of Car Is The Right Side?

Frequently Asked questions (FAQs)

Do parallel present meet?

No parallel lines perform not fulfill or intersect each other.