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Which of the following letters have rota...

Which of the following letters have rotational symmetry?
R, B, F, H, O, P, S, W, X, Z, N

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To determine which letters have rotational symmetry, we will analyze each letter based on its ability to look the same after being rotated at certain angles. ### Step-by-Step Solution: 1. **Analyze Letter R**: - When you rotate R by 360 degrees, it looks the same, but this is not considered rotational symmetry. - **Conclusion**: R does not have rotational symmetry. 2. **Analyze Letter B**: - Similar to R, B also looks the same only after a full 360-degree rotation. - **Conclusion**: B does not have rotational symmetry. 3. **Analyze Letter F**: - F also requires a full 360-degree rotation to look the same. - **Conclusion**: F does not have rotational symmetry. 4. **Analyze Letter H**: - When you rotate H by 180 degrees, it looks the same. - **Conclusion**: H has rotational symmetry (180 degrees). 5. **Analyze Letter O**: - O can be rotated by any angle (including 180 degrees) and still looks the same. - **Conclusion**: O has rotational symmetry (infinite symmetry). 6. **Analyze Letter P**: - P requires a full 360-degree rotation to look the same. - **Conclusion**: P does not have rotational symmetry. 7. **Analyze Letter S**: - When rotated by 180 degrees, S looks the same. - **Conclusion**: S has rotational symmetry (180 degrees). 8. **Analyze Letter W**: - W looks the same only after a full 360-degree rotation. - **Conclusion**: W does not have rotational symmetry. 9. **Analyze Letter X**: - X has rotational symmetry at both 90 degrees and 180 degrees, depending on how it's written. - **Conclusion**: X has rotational symmetry (90 degrees and 180 degrees). 10. **Analyze Letter Z**: - When rotated by 180 degrees, Z looks the same. - **Conclusion**: Z has rotational symmetry (180 degrees). 11. **Analyze Letter N**: - When rotated by 180 degrees, N looks the same. - **Conclusion**: N has rotational symmetry (180 degrees). ### Final List of Letters with Rotational Symmetry: - H (180 degrees) - O (infinite symmetry) - S (180 degrees) - X (90 degrees and 180 degrees) - Z (180 degrees) - N (180 degrees)
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