2.4 Use Postulates and Diagrams

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Presentation transcript:

2.4 Use Postulates and Diagrams Geometry 2.4 Use Postulates and Diagrams

Point, Line, and Plane Postulates Through any two distinct points there exists exactly one line. A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three noncollinear points there exists exactly one plane.

Point, Line, and Plane Postulates A plane contains at least three noncollinear points. If two distinct points lie in a plane, then the line containing them lies in the plane. If two distinct planes intersect then their intersection is a line.

Interpreting a Diagram Perpendicular lines in a plane. You can only assume information about size or measure ONLY if it is marked. A line is perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects at that point.