Lesson 5-4: Proportional Parts. 2. If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional length.. Triangle Proportionality Theorem. Converse:. If a line intersects two sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the third side..
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