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In a plane if two lines are perpendicular to the same line then are they parallel to each other?
So long as all three lines are in the same plane, yes.
Which geometric object is defined as the set of all points in a plane that are equidistant from each other?
They are parallel lines
Lines cross over each other at a certain point?
In Euclidean geometry, any two lines in a plane that are not parallel will cross.
What parallels are not circles?
If two circles are drawn using the same centre, the two lines of the circles are parallel as they don't meet each other.Two straight lines (think of railway tracks) are drawn next to each other, but never meet, they are parallel lines.
Which lines run horzonally parallel to each other?
parallel lines.....
Are two lines parallel to the same plane parallel to each other?
Not necessarily. They could be skew lines, and satisfy these conditions.
In a plane if two lines are perpendicular to the same line then they are parallel to each other?
Yes they are. It's a postulate: In a plane two lines perpendicular to the same line are parallel.
What are the characteristics of parallel lines?
Parallel lines lying in a plane do not intersect each other. They share exactly zero points in common.
Two lines in a plane are parallel if they cross?
Two lines in a plane are parallel if they do not intersect, meaning they maintain a constant distance between each other and will never meet.
Can a pair of lines be both parallel and skew?
No. Parallel has a specific meaning. For lines to be parallel, they have to lie in a common plane, but not touch each other. If they are skew, they still don't touch each other, but they now do not lie in a common plane. More specifically, skew lines, by definition, are not co-planar.
In a plane if two lines are perpendicular to the same line then are they parallel to each other?
So long as all three lines are in the same plane, yes.
How many lines can be parallel to each other in a plane?
any amount! It doesn't have to be just 2.
If two lines are perpendicular to the same plane then are they parallel to each other?
Yes. [in 3-d].
What does intersecting lines mean?
Intersecting lines are those that lie in the same plane and cross each other at some point. Unless they are parallel, lines in the same plane always cross.
Which geometric object is defined as the set of all points in a plane that are equidistant from each other?
They are parallel lines
What lines cross over each other at a certain point?
In Euclidean geometry, any two lines in a plane that are not parallel will cross.
Lines cross over each other at a certain point?
In Euclidean geometry, any two lines in a plane that are not parallel will cross.
