https://file.aiquickdraw.com/mathbot/file/1727067478200etywiujj.jpg

The statement in the image is describing the **Proportional Parts of Parallel Lines Theorem**. This theorem states that if three or more parallel lines cut congruent segments on one transversal, they will also cut congruent segments on every transversal. Therefore, the correct answer is:

**Proportional Parts of Parallel Lines**

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Here are 5 related questions to expand on this concept:

1. How do you prove the Proportional Parts of Parallel Lines Theorem?
2. What is the difference between the Proportional Parts and Congruent Parts of Parallel Lines?
3. How does the Proportional Parts theorem apply in geometric constructions?
4. Can this theorem be used to solve real-world problems involving parallel lines and transversals?
5. How is the Proportional Parts of Parallel Lines theorem related to the Triangle Proportionality Theorem?

**Tip:** Understanding parallel lines and transversals is key to solving many geometric problems involving triangles, angles, and proportions.

If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

Understand how the Proportional Parts of Parallel Lines Theorem explains that when 3 or more parallel lines cut congruent segments on one transversal, they do the same on every transversal. Ideal for geometry students in Grades 9-10.

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