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Understanding Points, Lines, and Planes in Geometry

Learn about the basic definitions and postulates of points, lines, and planes. Practice identifying coplanar points and lines in space. Homework packet included.

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Understanding Points, Lines, and Planes in Geometry

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  1. Probability Review

  2. Points, Lines, and Planes Geometry Mr. Zampetti Unit 1, Day 4

  3. A P Q Z Definition Point: a location in space. A point has no size, but is represented by a dot labeled with a capital letter.

  4. Definition Space: the set of all points

  5. l Q P Definition Line: a series of points that extends without end in two opposite directions.

  6. Q R P Definition Collinear: points that lie on the same line.

  7. Definition Plane: a flat surface that extends in all directions without end.

  8. Definition • Coplanar: points and lines that are in the same plane.

  9. Practice • How many planes are represented by the surfaces of the cube? • Name the plane of the front of the cube in multiple ways. • Name a point that is coplanar with the given points: • E, F, G 2. B, C, G • Name Lines that are coplanar with AB and DC

  10. Definition Postulate: an accepted statement of fact.

  11. Four Basic Postulates 1-1: Through any two points there is exactly one line. 1-2: If two lines intersect, then they intersect in exactly one point. 1-3: If two planes intersect, then they intersect in a line. 1-4: Through any three noncollinear points there is exactly one plane.

  12. Homework Homework Packet: Points, Lines, and Planes

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