What is the inverse theorem of parallel lines? Can you elaborate on it? thank you

Theorem of bisection of parallel lines: If a group of parallel lines have equal segments on a straight line, then the segments of this group of parallel lines on another straight line are also equal. Inverse proposition: A group of straight lines are parallel to each other if they cut equal segments on two straight lines at the same time. Not necessarily. This is not a theorem. Mm-hmm. B Khan.