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Is it true that if a line is parallel to a plane then any plane containing that line is always parallel to the given plane?
Renaissancegyrl
No.
A line can be contained by many, many planes,
Picture this,
A rectangle with corners - going clockwise - A, B, C and D is the screen of your computer. This is a plane figure.
1 inch away from it a line runs from A1 to C1.
The line is parallel to the plane.
Now, take a sheet of paper with corners E, F, G and H, and place corner E at corner A of the screen, and place corner F at corner C of the screen.
The Line AI is now 'contained' in the plane EFGH. and EFGH is perpendicular to ABCD.
Wiki User
∙ 13y ago
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Two segments in the same plane are parallel if the containing them are parallel is called?
Lines
What two segments or rays in the Same plane are parallel?
Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.
Is it true that given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True.
Are a line and a plane that do not intersect always sometimes or never skew?
A line and a plane that do not intersect are always skew. Skew refers to two or more lines or planes that are not parallel and do not intersect. Since a line and a plane are different-dimensional objects, they will never intersect and will always be skew.
What is the locus of points in space that are equidistant from two parallel planes?
A plane midway between the two given planes and parallel to them.
Two segments in the same plane are parallel if the containing them are parallel is called?
Lines
Are two segments or rays in the same plane parallel if the planes containing them are parallel?
lines
Is it true that if given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
Yes, it is true that if given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone. There are four cases... Plane perpendicular to axis: circlePlane between perpendicular to axis and parallel to edge: ellipsePlane parallel to edge: parabolaPlane between parallel to edge and parallel to axis: hyperbolehttp://en.wikipedia.org/wiki/Conic_section
A plane and a line sometimes never or always intersect in a single point?
A given plane and a given line don't necessarily have to intersect at all.If the line is parallel to the plane, then they never do.The line can also be in the plane, and then every point on the line is alsoa point in the plane.The most likely case, though, is that the line is not parallel to the plane andnot in it. In that case, their intersection is a single point.So I guess the best answer from the allowed choices is 'sometimes'.
Given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True
What two segments or rays in the Same plane are parallel?
Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.
Is it true that given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True.
Are a line and a plane that do not intersect always sometimes or never skew?
A line and a plane that do not intersect are always skew. Skew refers to two or more lines or planes that are not parallel and do not intersect. Since a line and a plane are different-dimensional objects, they will never intersect and will always be skew.
What shape is formed by the intersection of a cone and a plane that is parallel to a cone's base not containing the cone's vertex?
The shape described by the intersection of the cone and the plane is simply a circle.
What is the locus of points in space that are equidistant from two parallel planes?
A plane midway between the two given planes and parallel to them.
What are two lines in a plane that do not meet and they are always equal distance apart?
Parallel.
Can 3 points be non-coplanar is outside the plane?
If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.
