parallel
Yes they are. It's a postulate: In a plane two lines perpendicular to the same line are 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. !!!!!
the parallel lines never intersect each other but they both intersect the line they are perpendicular to
They are parallel to each other.
No. It's impossible. There's a corollary that states: If two lines are perpendicular to the same line, then the two lines are parallel.
No. Two lines perpendicular to the same line are parallel to each other. I am doing this for my geometry homework right now trying to recall the name of the postulate/theorem stating it.
They're parallel.
A line is perpendicular to a plane when it is perpendicular on two lines from the plane
Parallel lines run in the same direction. If they are intersected by one line and that line is perpendicular to both, then it proves that the lines run parallel to each other.
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Two lines that are both perpendicular to a third line are not parallel to each other unless they are the same line. In Euclidean geometry, if two lines are perpendicular to a third line, they will meet at the same angle to that line, creating a right angle. However, they can diverge from each other, resulting in them intersecting at some point rather than being parallel. Thus, they are not necessarily parallel.
If you have two parallel lines, then they have the same slope. If you have another line, in the same plane as the first two lines, and it is not parallel to them, then the angle of intersection with the first line will be the same as the angle of intersection with the second line. If this angle is 90°, then the third line is perpendicular to the first line and also to the second line. For an example, think of a rectangle. Two opposite sides are parallel. Now pick one of the 3rd or 4th sides. Each of these sides is perpendicular to both the first side and the second side.