Question 138759: how do you prove the property that || is transitive.
Answer by vleith(2983)   (Show Source):
You can put this solution on YOUR website! I read this as "How does one show that if line a is parallel to line b AND line b is parallel to line c, then line a is parallel to line c".
If line a and b are parallel, then they have the same slope. Let's call that m.
If line b and line c are parallel, they have the same slope. lets call that n.
Since the slope of b is constant, n = m. And the slope of a equals the slope of c.
Since a and c have the same slope, they are parallel.
And the operation is transitive.
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