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How many points may a line contain?
A line, ray, or line segment contains an infinite number of points.
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.
How many lines can contain a line and a point not on the line?
In plane geometry a line is a two dimentional object between two points. If a line or a point is not on the line it, by definition, does not contain them. The answer therefor is infinite. Unless it is a closed line which has a slightly different definition but the answer is the same.
Is a line joining two points not necessarily in the plane containing the two points?
If it is a straight line it must be in the same plane. Otherwise not necessarily.
Are points that are collinear also coplanar explain?
Points that are collinear will be located on the same line. A line is a subset of a plane. Therefore, Yes, points that are collinear will be located on the same plane.
Does a plane containing two points of a line always never or sometimes contain the entire line?
It contains the whole line.
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
Can a plane contain one point of a line?
Yes, it can. A plane can contain any number of points of a line.
Does a plane containing two points of a line contains the entire line?
yes
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
Can three points be noncoplanar?
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
How many points may a line contain?
A line, ray, or line segment contains an infinite number of points.
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.
Each face of this pyramid is part of a plane. Each edge is part of a line. Choose the plane that does not contain line NE. in geomatry?
To identify the plane that does not contain line NE in a pyramid, first consider the vertices and edges of the pyramid. Line NE connects two specific points on the pyramid, and the planes formed by the faces of the pyramid will include this line if they contain both points N and E. The plane that does not contain line NE would be one that connects different vertices of the pyramid, such as the face opposite to the base containing points N and E.
How many planes can contain two given points?
If 2 points determine a line, then a line contains infinitely many planes.
Does a line contain four non-coplanar points?
No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.
