Subjects geometry

Symmetry Types 87F8B3

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1. The problem involves identifying types of transformations or symmetries related to given graphs. 2. The first graph is described as a wavy line, which typically represents a continuous curve without rotational or point symmetry. 3. The second graph shows a circular arrow symbol, indicating rotational symmetry. 4. The third graph is a hexagon with lines connecting non-adjacent vertices inside, forming a star shape, which often has rotational symmetry and possibly point symmetry. 5. To classify each graph, we use the definitions: - Line symmetry: The figure can be reflected over a line and remain unchanged. - Point symmetry: The figure looks the same when rotated 180 degrees about a point. - Rotational symmetry: The figure looks the same after rotation by an angle less than 360 degrees. 6. Applying these definitions: - The wavy line has no line, point, or rotational symmetry. - The circular arrow symbol represents rotational symmetry. - The star-shaped hexagon has rotational symmetry and may have point symmetry depending on the exact figure. 7. Therefore, the answers are: - Wavy line: None - Circular arrow: Rotational - Star-shaped hexagon: Rotational