Answer :

The option that is not an illustration of parallel lines cut by a transversal is the Third Illustration.

The illustration of parallel lines that are not cut by a transversal would involve two straight lines that never intersect, regardless of how far they are extended in either direction.

The two lines would be drawn on a plane. They would be perfectly straight and never meet, indicating that they are parallel. There would be no additional line (transversal) intersecting both parallel lines.

This is shown with the third illustration.

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