Lesson 02 - Point, Line, & Plane Postulates • Identify postulates using diagrams. • Identify and use basic postulates about points, lines, and planes. • A postulate or an axiom is a statement that is accepted as true without proof.
Two Point Postulate (Card #1) Through any two points there exists exactly one line.
Line-Point Postulate(Card #2) A line contains at least two points.
Line Intersection Postulate (Card #3) If two lines intersect, then their intersection is exactly one point.
Three Point Postulate (Card #4) Through any three non-collinear points, there exists exactly one plane.
Plane Point Postulate (Card #5) A plane contains at least three non-collinear points.
Plane Line Postulate (Card #6) If two points lie in a plane, then the line containing them lies in the plane.
Plane Intersection Postulate (Card #7) If two planes intersect, then their intersection is a line.