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What is a Plane?

Definition: Plane

Summary

  1. Planes are flat surfaces extending in all directions without ending, and they contain an infinite number of points and lines
  2. G, V, D, and Q are points on this plane
  3. VQ is a line on this plane
  4. Planes can be named with any three or more points on the plane that do not fall on a straight line
  5. VDQ cannot be a name for this plane because the points all fall on line VQ
  6. A plane can be named after a single letter that is written on the plane with no point attached to it
  7. One example of a special plane is the coordinate plane

Notes

    1. Planes contain an infinite number of points and an infinite number of lines
    2. G, D, Q, and V are points on this plane
    3. Line VQ is a line on this plane
    1. You can name planes with any three or more points on a plane that do not fall on a straight line
    2. VDQ cannot be a name for this plane because the points all fall on line VQ
    3. In some cases, you may see a single letter written on a plane with no associated point
    4. You can name the plane with this single letter, too!
    1. One example of a special plane is the coordinate plane
    2. The coordinate plane extends in all directions without ending
    3. Two lines in the coordinate plane are the x and y-axes
    4. These lines also extend in all directions, and their point of intersection is called the origin
    5. Points in the coordinate plane are called ordered pairs and are given special names that indicate their specific location in the coordinate plane