Two lines that coincide look and act exactly like a single line.
If you have one straight line, there are an infinite number of planes in which it lies.
If lines lie in two planes, then the lines are coplanar.
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.
Two lines may or may not lie in the same plane, depending on their relationship. If the lines are parallel or intersecting, they exist in the same plane. However, if the lines are skew, meaning they do not intersect and are not parallel, they lie in different planes. Thus, whether two lines lie in the same plane is contingent on their geometric arrangement.
Parallel Lines.
In a Euclidean plane (the one which we are all familiar with), they would be parallel lines.
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
Skew lines cannot lie in the same plane.
If lines lie in two planes, then the lines are coplanar.
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.
If they are straight lines, then they define a plane in which both lines lie.
Parallel
Coplanar.
skew lines
Parallel Lines.
In a Euclidean plane (the one which we are all familiar with), they would be parallel lines.
Perpendicular lines.
Yes - if they are straight lines.