Two lines parallel to a plane are parallel
Question
Two lines parallel to a plane are parallel
Solution
Yes, two lines that are parallel to the same plane are indeed parallel to each other.
This is because if a line is parallel to a plane, it means that it does not intersect the plane and is equidistant from the plane at all points. If two lines are both parallel to the same plane, they do not intersect the plane and are equidistant from the plane at all points. Therefore, they must also be equidistant from each other at all points, meaning they are parallel to each other.
Similar Questions
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Two lines orthogonal to a third line are parallel?
Answer true or false:In a plane, if two lines are perpendicular to the same line, then those two lines are parallel.(Put either true or false, in small letters, in the box.)
line may not be__________________.(2 Points)Parallel to both the planesParallel to one plane perpendicular to the otherParallel to one plane and inclined to otherPerpendicular to both the planes
A line can be perpendicular to both the Plane at the same time(1 Point)TrueFalse
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