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11111nata11111 [884]
2 years ago
15

I need help with this geometry question asap!

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

Answer:

  True

Step-by-step explanation:

Lines in three dimensions can be one of ...

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

<h3>Coplanar</h3>

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 <em>skew</em>, non-intersecting and non-parallel. They cannot be contained in a single plane.

__

<em>Additional comment</em>

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

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