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Understanding Points, Lines, and Planes in Geometry

Learn the basic definitions of points, lines, and planes in geometry. Understand how to identify collinear points, name lines, and label planes. Explore coplanar objects and test your knowledge with examples.

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Understanding Points, Lines, and Planes in Geometry

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  1. Section 1.2 Points, Lines, and Planes

  2. Definitions: A point is a location. It has no size, represented by a small dot and named by a capital letter. Space is the set of all points. A line is a series of points that extends in two opposite directions without end. Named by: any TWO points or a lowercase letter. Name the line: Collinear points are points that lie on the same line.

  3. A few more definitions: A plane is a flat surface that has no thickness. It contains many lines and extends without end in all directions. You can name a plane by a single capital letter or THREE noncollinear points. Two points or lines are coplanar if they lie in the same plane.

  4. How would I label the plane boxed in RED?

  5. Name another plane.

  6. How many different planes do you see?

  7. Remember- Coplanar objects (points or lines) are objects that lie on the same plane. Are the following points coplanar? ABC ? ABCF ? HGFE ? EHCB ? AGF ? CBFH ?

  8. A postulate or axiom is an accepted statement of fact.

  9. Ex. A stool can stand with only 3 legs.

  10. Homework

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