D. A perpendicular line to one side of a triangle.
Step-by-step explanation:
THe converse of the Triangle Proportionality Theorem states that every straigh line that cuts two sides of a triangle proportionally then it will be parallel to the othe side of the triangle. So AA similarity theorem is involved because given line would create two equal similar triangles, a big one and a small one, so the only one that is not part of the Converse would be A perpendicular line to one side of a triangle.
