Question
What shape has rotational symmetry?
Answers
GPT-4o mini
Rotational symmetry refers to a characteristic of a shape that can be rotated around a central point and still look the same at certain angles. Many shapes exhibit rotational symmetry, including:
1. **Circle** - It has infinite rotational symmetry since it looks the same at any angle of rotation.
2. **Equilateral Triangle** - It has rotational symmetry of order 3, meaning it looks the same after rotating 120 degrees.
3. **Square** - It has rotational symmetry of order 4, meaning it looks the same after rotating 90 degrees, 180 degrees, or 270 degrees.
4. **Regular Pentagon** - It has rotational symmetry of order 5, looking the same after rotating 72 degrees.
5. **Regular Hexagon** - It has rotational symmetry of order 6, looking the same after rotating 60 degrees.
In general, regular polygons have rotational symmetry, and the order of rotational symmetry for a regular polygon is equal to the number of its sides.
1. **Circle** - It has infinite rotational symmetry since it looks the same at any angle of rotation.
2. **Equilateral Triangle** - It has rotational symmetry of order 3, meaning it looks the same after rotating 120 degrees.
3. **Square** - It has rotational symmetry of order 4, meaning it looks the same after rotating 90 degrees, 180 degrees, or 270 degrees.
4. **Regular Pentagon** - It has rotational symmetry of order 5, looking the same after rotating 72 degrees.
5. **Regular Hexagon** - It has rotational symmetry of order 6, looking the same after rotating 60 degrees.
In general, regular polygons have rotational symmetry, and the order of rotational symmetry for a regular polygon is equal to the number of its sides.