Two Parallel lines are ______ copplanar?
Two parallel lines are always coplanar. To understand why, let's break it down step by step:
1. Start with the definition of coplanar: Coplanar points, lines, or other geometric objects lie in the same plane. A plane is a flat surface that extends infinitely in all directions.
2. Two parallel lines are lines that never intersect, no matter how far they are extended. These lines are always in the same direction and have the same slope.
3. If two lines are parallel, it means they are always at the same distance apart and will never cross or intersect. Since they are always at the same distance, they will lie in the same plane.
4. This can be visualized by imagining a flat sheet of paper representing the plane. You can draw two parallel lines on the paper, and they will always remain on that same flat sheet.
Therefore, two parallel lines are always coplanar because they lie in the same plane and will never intersect.