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Not necessarily.

Imagine yourself inside a cuboid room.

Consider the following three lines:

(A) The horizontal line joining the far wall and the floor.

(B) The horizontal line joining the wall on your left and the ceiling.

and

(C) The vertical line joining the far wall and the wall on your left.

The line C may be considered a transversal to the other two. These are both parallel but they are not coplanar. Their planes are both horizontal but Line A is in a low plane while B is in a high plane.

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12y ago

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Q: When there is a transversal of two lines are lines coplanar?
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