Subjects geometry

Rotational Symmetry

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1. The question asks if the described shape has rotational symmetry. Rotational symmetry occurs when a figure looks the same after being rotated less than a full turn (360 degrees) about its center. 2. The description mentions a green, irregular angular shape with three distinct "arms" extending from a central point. The arms are formed by multiple connected line segments with varying angles. 3. For rotational symmetry with three arms, a common expectation would be that rotating the shape by 120 degrees (360 degrees divided by 3) maps it onto itself. 4. However, since the shape is described as irregular with varying angles between segments and not specified as identical or evenly spaced arms, this indicates the figure does not map onto itself under such rotations. 5. Therefore, the shape does not have rotational symmetry.