Question

Explanation needed.

Answer 1

Hi,
I am doing a project about why the Horizontal lines are not necessarily parallel.

And the same to the vertical lines. Check the Attachment.

Answer 2

We know that the Horizontal lines have slopes equal to Zero and still that is not enough to say that they are completely parallel. According to many math systems, They "partly" Consider the Horizontal and Vertical lines parallel. Not entirely.

Answer 3

yes it is true that it is not necessary that two horizontal lines are parallel

are you trying to prove why this statement is true? =]

Answer 4

im trying to find out, why they aren't necessarily considered as parallel? Even when the Horizontal lines have slopes =0 (which mean congruent slopes)

Answer 5

yeah
consider this case- http://prntscr.com/bbzvbk
these two are horizontal lines which lie next to each other
and if you extend them then they'll cut/meet each other.

and the definition of parallel lines says that->
In geometry, \(\color{orangered}{parallel ~lines~ are ~lines ~in ~a~ plane~ which~ do ~not ~meet}\); that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. By extension, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel.

now
-> the two lines i drew are both horizontal. do you think we should consider them as parallel? =]

Answer 6

Fabulous, That works! Thank you.

Answer 7

np :)