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What type of lines (falling in the same plane) are equidistant apart and never meet?
Wiki User
∙ 9y ago
They are parallel lines
Wiki User
∙ 9y ago
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What are two lines that are equidistant apart and never intersect?
Two lines that are equidistant and, therefore, never intersect, would be parallel lines.
What do you call lines in a plain that do not meet?
Parallel lines are equidistant apart and never meet
What are lines that are not coplaner and will never inersect?
Parallel lines remain equidistance apart and never intersect
Are lines that never cross and stay the same distance apart?
They are parallel lines
What are lines in the same plane that never intersect and are always the same distance apart?
parellel lines
What are two lines that are equidistant apart and never intersect?
Two lines that are equidistant and, therefore, never intersect, would be parallel lines.
What do you call lines in a plain that do not meet?
Parallel lines are equidistant apart and never meet
What is paralell line?
Parallel lines are equidistant from each other and never intersect.
Can lines be wavy?
Parallel-being everywhere equidistant and not intersectingLine-A geometric object that is straight, infinitely long and infinitely thin.So two "wavy lines" (that never intersect and are equidistant) would fulfill the definition of "parallel," but not of "line."
What are lines that are not coplaner and will never inersect?
Parallel lines remain equidistance apart and never intersect
What lines that are the same distance apart and never intersect?
Parallel lines
Are lines that never cross and stay the same distance apart?
They are parallel lines
What are lines that never touch each other and stay the same distance apart?
Parallel lines
What is a parrellel line?
Parallel Lines-lines that never cross and stay the same distance apart.
What are lines in the same plane that never intersect and are always the same distance apart?
parellel lines
Parallel lines are equidistant and will never meet?
I understand your question to be, "Is it true that parallel lines are everywhere equidistant and never intersect?" In what follows, I assume we're talking about a two-dimensional plane. By definition, two lines that are parallel (in the same plane) never intersect. In Euclidean (AKA Parabolic or simply E) Geometry, and also in Hyperbolic (AKA simply L) Geometry, parallel lines exist. In Elliptical (AKA R) Geometry, all lines eventually intersect so parallel lines do not exist. Now, are two parallel lines (in the same plane) everywhere equidistant? If so, that means that it is possible, at any point on one of the lines, to construct a perpendicular that will meet the other line in a perpendicular, and that the length of the segments constructed will be always the same. In Euclidean Geometry, two parallel lines (in a plane) are indeed everywhere equidistant. To prove it requires the converse of the Alternate Interior Angles theorem (AIA), which says that if two parallel lines are cut by a transversal, the alternate interior angles will be congruent. Note that this is the CONVERSE of AIA, not AIA. Some people get this mixed up. In Hyperbolic Geometry, two lines can be parallel, but be further apart some places than others. I know that sounds rather odd, if you're not used to it. Here's an image that might help: imagine that your plane is a thin sheet of rubber, and for some reason is being stretched. The further you go from your starting point, the more it stretches, and it's always stretching away from you. This means that your parallel lines will keep getting further and further apart.
Difference between tangent and parallel lines?
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point
