Prove that if two lines are parallel to the third line, then they are parallel.

We look at the condition two straight lines parallel. We assume that the third line is parallel to one of the lines. By the condition of parallelism – two lines do not intersect. Let’s assume that the third line is not parallel to the first. Then the condition of parallelism of the first two lines is violated – and therefore the third will be parallel to the first two.



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