15. lines do not intersect or cut each other, no matter how far they are extended on either side. *
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parallel lines donotcutor intersect each other
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Parallel lines do not intersect each other, no matter how far they are extended on either side.
Step-by-step explanation:
- Parallel lines are lines in a plane that are always the same distance apart.
- Two lines are said to be parallel when they do not meet at any point in a plane.
- Lines which do not have a common intersection point and never cross path with each other are parallel to each other.
Properties:
When a common transversal line intersects parallel lines, the following properties are responsible for proving that the lines are parallel: (from the figure)
- Corresponding angles so formed are equal. a=e, b=f, c=g, d=h
- Vertically opposite angles so formed are equal. a=c, b=d, e=g, f=h
- Alternate interior angles so formed are equal and the pair of interior angles on the same side of the transversal is supplementary. c=e, d=f
- Alternate exterior angles so formed are equal. a=g, b=h
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