If two lines are parallel, they must be equidistant from each other at all points and will never intersect, regardless of how far they are extended. Additionally, parallel lines have the same slope when represented in a coordinate system. This means that the angle of inclination relative to a horizontal line is identical for both lines.
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
Yes, it is true. If a transversal is perpendicular to one of two parallel lines, it must also be perpendicular to the other parallel line. This is a consequence of the properties of parallel lines and transversals, which dictate that corresponding angles formed by the transversal and the parallel lines are congruent. Therefore, if one angle is a right angle, the other must also be a right angle, confirming the perpendicularity.
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True
They are skew lines. Two parallel lines must be in the same plane.
Yes, it is true. If a transversal is perpendicular to one of two parallel lines, it must also be perpendicular to the other parallel line. This is a consequence of the properties of parallel lines and transversals, which dictate that corresponding angles formed by the transversal and the parallel lines are congruent. Therefore, if one angle is a right angle, the other must also be a right angle, confirming the perpendicularity.
true
Parallel lines never intersect. This is a parallel line. _______________________________________________________ _______________________________________________________ True ;
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No, as long as the lines will never touch, they are parallelNo, if they have the same slope, they're parallel. This means they could be vertical, horizontal, or anything in between.And don't listen to the other guy, because skew lines are lines on two different planes, never intersect, and are not parallel.
True
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.
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
Yes. Parallel Lines are also two coplanar lines that do not intersect.
They are skew lines. Two parallel lines must be in the same plane.
Parallel lines are never perpendicular. Perpendicular lines are co-planar and cross at right angles.
false