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Algebra: If given two equations of a line, then you can assume that they are in the same plain. If the two slopes are equal, then the lines are parallel.

Geometry: If given two lines in the same plane that never intersect, then these two lines are parallel. If the lines are in different planes, but never intersect, then the lines are skew.

So, both definitions use lines and a plane. The answer is yes.

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Q: Are a line and a plain are needed to define parallel lines?
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Related questions

What do you call lines in a plain that do not meet?

Parallel lines are equidistant apart and never meet


What tool allows you to draw parallel horizontal lines on plain paper?

a ruler


What if a line has no x-intercept?

In plain geometry, if 2 lines never intersect, they are Parallel


Are 2 lines have no common point is always parallel?

In a 2 dimensional plain they would have to be parallel in order to have no common point; in a 3 dimensional field they do not have to be parallel.


What lines ar non interesting and are not in the same plain?

Do you mean non intersecting? Because then you might be talking about parallel


How many interacting straight line divides the plain 11 parts where no 2 lines are parallel and no 3 lines pass throw the same point?

Four.


What features are used to define a physical region?

plain


Define the term plain?

ordinary simple not elaborate


How many lines are there in a plain?

Many.


What is a plain figure with 8 lines of symmetry?

an octagon.


Two lines perpendicular to the same line are perpendicular to each other true or false?

TRUE:: The first two lines lie in the same plain, but are perpendicular to each other. The third line passes through the plane of the first two lines so it is also perpendicular. Think 3-dimension. !!!!!


What does a plain look like on a map?

On a map that uses contour lines to represent height, a flat plain should show very few (if any) contour lines.