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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.
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Is it true that two lines that lie in different parallel planes must be skew 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.
Is it true if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other?
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.
If two parallel lines are perpendicular to the same line what must be true for all three lines?
l dnot relly know but it is a
Two lines lie in one plane and do not intersect if and only if the two lines are parallel?
True
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
Is it true that two lines that lie in different parallel planes must be skew 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.
Is it true if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other?
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.
If two lines are parallel then they are coplanar?
true
Two parallel lines will have 0 points of intersection?
Parallel lines never intersect. This is a parallel line. _______________________________________________________ _______________________________________________________ True ;
If two parallel lines are perpendicular to the same line what must be true for all three lines?
l dnot relly know but it is a
Is it true that two parallel lines must be vertical?
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.
Two lines lie in one plane and do not intersect if and only if the two lines are parallel?
True
If two lines do not intersect must they be parallel?
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.
How are two line that are parallel to each other different from any other two lines?
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
If two segments are parallel are the lines containing them are coplanar?
Yes. Parallel Lines are also two coplanar lines that do not intersect.
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
Two lines are perpendicular if they are parallel and cross?
Parallel lines are never perpendicular. Perpendicular lines are co-planar and cross at right angles.
