The importance is that parallel lines must never meet.
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
A trapezoid has only one pair of parallel lines so it cannot be a parallelogram which must have two pairs of parallel lines.
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
The importance is that parallel lines must never meet.
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.
I don't exactly understand what you are trying to say in this question. However, one thing I can tell you about the slope of parallel lines is that they are equal. Parallel lines must have the same slope.
If lines neither intersect nor are parallel, then they must be drawn in 3D space, or a higher dimension.(These lines are called skew lines)
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
A trapezoid has only one pair of parallel lines so it cannot be a parallelogram which must have two pairs of parallel lines.
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
They are skew lines. Two parallel lines must be in the same plane.
In 2-dimensional space they must be parallel. In 3-d space they be parallel or skew lines I believe.
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.