100 likes | 176 Views
A line contains at least 2 points. A plane contains at least 3 noncollinear points. Space contains at least 4 noncoplanar points. Through any 2 points there is exactly one line. Through any 3 points there is one plane; and if they are noncollinear , there is exactly one plane.
E N D
A line contains at least 2 points.A plane contains at least 3 noncollinear points. Space contains at least 4 noncoplanar points
Through any 3 points there is one plane; and if they are noncollinear, there is exactly one plane.
If 2 points are in the plane, then the line containing the 2 points is in the plane.
THEOREM--- a statement that is proven true
If 2 lines intersect then they intersect in exactly 1 point.
Through a line and a point not on the line there is exactly 1 plane. A C B
If 2 lines intersect then exactly 1 plane contains the lines.
POSTULATESA line contains at least 2 points; a plane contains at least 3 noncollinear points; space contains at least 4 noncoplanar points. • Through any 2 points there is exactly 1 line. • Any 3 points are coplanar. Through any 3 noncollinear points there is exactly one plane. • If 2 points are in the plane then the line containing those points are in the plane. • If 2 planes intersect their intersection is a line. • THEOREMS • If 2 lines intersect then the intersection is exactly one point. • Through a line and a point not on the line there is exactly one plane. • Two intersecting lines are contained in one plane