Is it true: if two lines have no common points, then they are parallel?
| June 20, 2021 | education
Two lines cannot have two or more common points.
If two straight lines had two common points, then each of them would pass through these points. But according to the axiom, only one straight line passes through two points.
Therefore, we can draw the following conclusion: two lines either have only one common point (in this case, the lines intersect), or do not have common points (in this case, the lines do not intersect, the lines are parallel) 4.
If two lines do not have in common, then they do not intersect. Two straight lines on a plane are called parallel if they do not intersect. This means that the lines are parallel.
Answer: The statement is true: if two lines have no common points, then they are parallel.
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