Chapter 2 Lesson 5 Guided Notes Date___________ Postulate __(Axiom) is a statement that is accepted as truth without proof_________ Through any two points, there is exactly one line. Postulate 2.1: Line N is the only line through points P and R. Postulate 2.2: Through any three noncollinear points, there is exactly one plane. Plane K in the only plane that will contain Points A,C and C A line contains at least two points. Postulate 2.3: Line N contains an infinite number of points, but no less than two. A plane contains at least three non-collinear points. Postulate 2.4: A Plane contains an infinite number of points but at least 3 non collinear points. Postulate 2.5: If two points lie in a plane, then the entire line containing those points lies in the plane. IF A and B lie on a plane then Line AB also lies on the plane Postulate 2.6: If two lines intersect, then their intersection is exactly one point. Lines s and t intersect at Point P Postulate 2.7: If two planes intersect, then their intersection is a line. w G F Line is the intersection of Planes and Example: Determine whether each statement is always, sometimes, or never true. a. There is exactly one plane that contains points and A, B, C.
Chapter 2 Lesson 5 Guided Notes Date___________ Postulate __(Axiom) is a statement that is accepted as truth without proof_________ Postulate 2.1: Through any two points, there is exactly one line. Line N is the only line through points P and R. Postulate 2.2: Through any three noncollinear points, there is exactly one plane. Plane K in the only plane that will contain Points A,C and C Postulate 2.3: A line contains at least two points. Line N contains an infinite number of points, but no less than two. Postulate 2.4: A plane contains at least three non-collinear points. A Plane contains an infinite number of points but at least 3 non collinear points. Postulate 2.5: If two points lie in a plane, then the entire line containing those points lies in the plane. IF A and B lie on a plane then Line AB also lies on the plane Postulate 2.6: If two lines intersect, then their intersection is exactly one point. Lines s and t intersect at Point P Postulate 2.7: If two planes intersect, then their intersection is a line. Line w is the intersection of Planes F and G Example: Determine whether each statement is always, sometimes, or never true. a. There is exactly one plane that contains points A, B, and C.
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