Yes. [in 3-d].
Parallel.Parallel.Parallel.Parallel.
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. !!!!!
Not necessarily. They could be skew lines, and satisfy these conditions.
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Two lines are said to be perpendicular when they are at right angles. That means that the angle between them is 90 degrees.There are other meanings of perpendicular; for example, a line is said to be perpendicular to a plane when it is perpendicular to EVERY line of the plane that goes through the intersection.
Yes they are. It's a postulate: In a plane two lines perpendicular to the same line are parallel.
So long as all three lines are in the same plane, yes.
Parallel lines cannot intersect in the Euclidean plane. Intersecting lines are not parallel.
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
Parallel.Parallel.Parallel.Parallel.
They can be, but not necessarily. If two lines in the same plane never intersect, they are parallel. Though, two lines can exist in the same plane without being parallel. Ie, two lines that intersect at a 90 degree angle are perpendicular. Most lines in a plane aren't parallel.
If two lines (which extend infinitely in each direction) lie on the same plane but never intersect, then the lines are parallel. If the lines somewhere intersect, they are not. And if they intersect at right angles, they are orthogonal, or perpendicular.
Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.
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. !!!!!
As for example perpendicular lines are non parallel lines.
Lines that that intersect each other at right angles on a plane are perpendicular lines.
Lines that that intersect each other at right angles on a plane are perpendicular lines.