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The question asks about the conclusion regarding the images of two parallel lines after a **180° rotation about the origin**. Let’s break this down:

- A 180° rotation essentially turns every point around the origin to the opposite side, but the relative arrangement of parallel lines remains the same.

### Analysis of the Answer Choices:
1. **"The image lines will be perpendicular."**  
   Incorrect. Rotating parallel lines does not make them perpendicular.

2. **"They are still parallel because lines remain parallel when rotated."**  
   Correct. The property of parallelism is maintained after rotation.

3. **"Because the new lines are parallel, they will overlap the original image."**  
   Incorrect. The lines will be parallel but may not overlap unless they pass through the same points.

4. **"The new lines will have opposite slopes."**  
   Incorrect. The slopes of the lines will indeed change after the rotation, but they remain parallel.

Thus, the correct answer is: **"They are still parallel because lines remain parallel when rotated."**

Would you like further explanation or details? 

### Related Questions:
1. What happens to the slope of a line after a 180° rotation?
2. How does the position of two non-parallel lines change after a 180° rotation?
3. What is the result of rotating a shape with multiple parallel lines by 180°?
4. Can two parallel lines ever become perpendicular under any rotation?
5. How do you calculate the slope of a line after a specific rotation?

### Tip:
For any line or shape, rotating it by 180° maintains its basic structure but reverses the direction across the center of rotation.

What conclusion can you make about the images of 2 parallel lines after a 180° rotation about the origin?

Discover the result of rotating two parallel lines by 180° about the origin. Understand how parallelism is maintained and how the slopes of the lines are affected. This geometry problem is suitable for Grades 8-10 students.

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