Geometry Postulates Always, Sometimes, Never
A line and a plane intersect at exactly two points
Never
A line contains exactly one point
Never
A line contains four non-coplaner points
Never
If points G and H are contained in plane M, then -GH- is perpendicular to plane M
Never
Line 'v' contains only point P
Never
Planes R and S intersect in point T
Never
There are at least three lines through points J and K
Never
Three collinear points determine a plane
Never
Two lines that are perpendicular intersect at exactly two points
Never
Two planes intersect at only one point
Never
Two planes that are parallel contain the same point
Never
Two planes that intersect share exactly one point
Never
Three lines that do not all line on the same plane can be drawn through one point
Sometimes
Two lines intersect at one point
Sometimes
Two lines that are not parallel do not share any points
Sometimes
Two planes contain the same point
Sometimes
Two planes intersect
Sometimes
A line can be drawn through two points
Always
A plane contains at least three lines
Always
A plane contains three points
Always
Noncollinear points R, S, and T, are contained in exactly one plane
Always
Points X and Y are in plane Z. Any point collinear with X and Y is in plane Z
Always
The intersection of two planes contain at least two points
Always
There is exactly one plane that contains noncollinear points A, B, and C.
Always
Through two points, there is exactly one line
Always
Two perpendicular lines intersect at exactly one point
Always
Two planes that intersect share an infinite number of points
Always
Two points A and B determine a line.
Always
A line and a plane intersect at exactly one point
Sometimes
Any two lines 'l' and 'm' intersect
Sometimes
Four points lie on the same plane
Sometimes
If points M, N, and P lie in plane X, then they are collinear
Sometimes
Points A, B, and C, determine a plane
Sometimes
The intersection of three planes is a line
Sometimes
Three lines intersect at one point
Sometimes
Three lines that are all parallel lie on the same plane
Sometimes