Can a line intersecting one of two parallel lines not intersect the other?

Let us check this statement by contradiction. Suppose some straight line does not have an intersection point with one of two parallel straight lines. But then, by the corollary of the axiom of parallelism, it will be parallel to the second line as well, which contradicts the fact that these lines intersect.

A line that intersects one of two parallel lines intersects the other.



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