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Lesson 02 - Point, Line, & Plane Postulates

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).

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Lesson 02 - Point, Line, & Plane Postulates

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  1. 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.

  2. Two Point Postulate (Card #1) Through any two points there exists exactly one line.

  3. Line-Point Postulate(Card #2) A line contains at least two points.

  4. Line Intersection Postulate (Card #3) If two lines intersect, then their intersection is exactly one point.

  5. Three Point Postulate (Card #4) Through any three non-collinear points, there exists exactly one plane.

  6. Plane Point Postulate (Card #5) A plane contains at least three non-collinear points.

  7. Plane Line Postulate (Card #6) If two points lie in a plane, then the line containing them lies in the plane.

  8. Plane Intersection Postulate (Card #7) If two planes intersect, then their intersection is a line.

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