Are parallel lines always coplanar?
Understand the Problem
The question is asking whether parallel lines can exist in different planes or if they must always be in the same plane, which is a fundamental concept in geometry.
Answer
Parallel lines are always coplanar.
Parallel lines are always coplanar because, by definition, parallel lines are coplanar lines that never intersect.
Answer for screen readers
Parallel lines are always coplanar because, by definition, parallel lines are coplanar lines that never intersect.
More Information
Parallel lines are defined as lines that are in the same plane and never intersect. Skew lines, in contrast, are non-coplanar and do not intersect.
Tips
A common mistake is confusing parallel lines with skew lines. Remember, skew lines are not in the same plane, while parallel lines are.
Sources
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