Yes.
Yes, two lines that lie in parallel to the same line are always parallel to each other. This is based on the Transitive Property of Parallel Lines, which states that if line A is parallel to line B, and line B is parallel to line C, then line A is parallel to line C. Thus, if two lines are both parallel to a third line, they must be parallel to each other.
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.
parallel lines.....
They are parallel to each other.
No, parallel lines never meet or cross each other.
They are parallel to each other.
Yes, two lines that lie in parallel to the same line are always parallel to each other. This is based on the Transitive Property of Parallel Lines, which states that if line A is parallel to line B, and line B is parallel to line C, then line A is parallel to line C. Thus, if two lines are both parallel to a third line, they must be parallel to each other.
Perpendicular lines can not be parallel to each other but they can be to other lines.
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.
parallel lines.....
They are parallel to each other.
If two lines are parallel to the same line, then they are parallel to each other.
E does have parallel lines. The three line are parallel to each other
If two lines are parallel to the same line, then they are parallel to each other.
parallel lines
No, parallel lines never meet or cross each other.
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.