Subjects geometry

Rotational Symmetry 091908

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1. **State the problem:** We need to find the order of rotational symmetry of a 5x5 grid pattern with grey squares at positions (1,2), (1,4), (2,3), (3,2), (3,4), (4,2), and (4,4). 2. **Understand rotational symmetry:** The order of rotational symmetry is the number of times a figure maps onto itself during a full 360° rotation. 3. **Check rotations:** - Rotate the pattern by 90°: The grey squares do not map onto the original grey squares positions. - Rotate by 180°: The grey squares map onto themselves because the pattern is symmetric about the center. - Rotate by 270°: Same as 90°, no match. - Rotate by 360°: Always maps onto itself. 4. **Conclusion:** The pattern maps onto itself twice during a full rotation (at 0° and 180°). 5. **Final answer:** The order of rotational symmetry is $2$.