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Would these points be coplanar? and would they also be collinear?

Would these points be coplanar? and would they also be collinear?-example-1
User PyAddict
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1 Answer

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Answer:

  • coplanar
  • not collinear

Explanation:

You want to know if the four points shown are coplanar and/or collinear.

Coplanar

Points that reside in the same plane are coplanar. There is nothing in the diagram to indicate that the points drawn are not in the same plane. Therefore, we assume ...

the points are coplanar

Collinear

Points are collinear when they reside on the same line. No three (or more) of the points shown lie on the same line, so they are not collinear.

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Additional comment

A line can always be drawn through any two distinct points, so two distinct points are always collinear.

(In geometry problems, we're usually only concerned with the lines drawn in the figure at hand. So, even though points A and D could define line AD, that line is not shown in the given figure, so generally can be ignored.)

User Zapko
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