How to Plot Points in Three Dimensions


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How do we turn a two-dimensional coordinate system, with an x-axis and a y-axis, into a three-dimensional coordinate system?

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1. How do we plot the point (x, y, z) on a three-dimensional coordinate plane?

2. Suppose we are plotting a point on a three-dimensional coordinate plane. We locate the number 5 on the x-axis. From that point, we move -2 units parallel to the y-axis. From that point, we move 18 units parallel to the z-axis. What point are we at?

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About This Quiz & Worksheet

Test how much you know about plotting points in 3D with these interactive study assessments. Key points on the quiz include how to transfer a two-dimensional coordinate system into a three-dimensional system and how to plot a point on a three-dimensional plane.

Quiz & Worksheet Goals

The quiz and worksheet will test you on these concepts:

  • How to determine a point from numbers on various axes
  • The first step in finding a plot on a three-dimensional plane
  • How to find a given point

Skills Practiced

  • Problem solving - use acquired knowledge to solve plotting points in 3D practice problems
  • Knowledge application - use your knowledge to answer questions about the three-dimensional coordinate system
  • Information recall - access the knowledge you've gained regarding the plotting of a given point (x, y, z)

Additional Learning

To gain more information on the subject, review the accompanying lesson entitled How to Plot Points in Three Dimensions. The following areas of study will help you to learn more:

  • What a two-dimensional coordinate plane is
  • The addition of another axis
  • Examples of three-dimensional coordinate systems