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What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Does a congruent term describe a line and a point that lie in the same plane?
No, it does not.
Describe the ideas of point line and plane?
A point is a coordinate on an axis. A line is the connection between two points. A plane is the object of perspective that points and lines lie on.
What line does the point (-16) lie on?
If you mean the point of (-1, 6) then it lies in the 2nd quadrant on the Cartesian plane
A line and a point not on the line lie in exactly one plane?
True.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Does a congruent term describe a line and a point that lie in the same plane?
No, it does not.
A line and two points are guaranteed to be coplanar if?
they lie in the same plane
If points of a line lie on a plane does the whole line lie on the plane?
Yes.
Describe the ideas of point line and plane?
A point is a coordinate on an axis. A line is the connection between two points. A plane is the object of perspective that points and lines lie on.
Can a line lie on a plane?
A straight line MUST lie in a plane. A curved line may or may not.
What line does the point (-16) lie on?
If you mean the point of (-1, 6) then it lies in the 2nd quadrant on the Cartesian plane
Lines on a hyperbolic plane are considered to be?
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Three what points determine a plane?
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
Do three lines that intersect at the same point have to be at the same plane?
No they can be Collinear - Points that lie on the same line.
If two lines lie in the same plane and have more than on point in common they must be?
the same line
