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18 votes
I need help with this geometry question asap!

I need help with this geometry question asap!-example-1
User Shaul Rosenzweig
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1 Answer

18 votes
18 votes

Answer:

True

Explanation:

Lines in three dimensions can be one of ...

  • coincident
  • parallel
  • intersecting (at one point)
  • skew

Coplanar

Lines are coplanar when a plane can be defined that includes the entirety of both of them. In the attached image, lines m₁ and n intersect and both lie in the gray plane. They are coplanar.

Lines m and m₁ are parallel, and both are contained in the turquoise plane. They are coplanar. A plane can always be drawn that will contain a pair of parallel lines. That is, any two parallel lines must be coplanar.

The lines m and n in the figure are skew, non-intersecting and non-parallel. They cannot be contained in a single plane.

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Additional comment

Three or more parallel lines may not be coplanar. They will only definitely be coplanar when considered in pairs.

I need help with this geometry question asap!-example-1
User Arnautg
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