The postulate states a minimum number of points a line must contain.
C
c
The postulate states the maximum number of points of intersection two intersecting straight lines can form.
A
a
Through points A and B is exactly one line n.
B
b
Line n contains at least A and B.
C
c
The intersection of line m and n is at point A.
Practice makes perfect
a
The Two Point Postulate states that through any two points, there exists exactly one line. An example of this is line n running through A and B.
Statement: Through points A and B is exactly one line, n.
b
The Line-Point Postulate states that a line contains at least two points. Again, we can consider line n. If we only had one of these points, A or B, we wouldn't know in which direction the line should be drawn.
Statement: Line n contains at least A and B.
c
The Line Intersection Postulate states that if two lines intersect, then their intersection is exactly one point. For example, consider line n and line m.
Statement: The intersection of line m and n is at point A.
