rotational symmetry
Rotational symmetry is a concept in mathematics that describes the property of an object or shape to remain unchanged or look the same after being rotated by a certain angle around a fixed point
Rotational symmetry is a concept in mathematics that describes the property of an object or shape to remain unchanged or look the same after being rotated by a certain angle around a fixed point. In other words, if you can rotate a shape less than 360 degrees and it still looks the same, then it has rotational symmetry.
The fixed point around which the shape is rotated is called the center of rotation, and the angle through which the shape is rotated is known as the angle of rotation. The common angles of rotation used include 90 degrees (quarter turn), 180 degrees (half turn), and 360 degrees (full turn).
To determine whether a shape has rotational symmetry, you need to examine if it looks the same after being rotated by various angles. If it does, it possesses rotational symmetry. The number of times a shape can be rotated while still looking the same is known as the order of rotational symmetry. For example, a square has rotational symmetry of order 4 because it appears the same after being rotated by 90 degrees, 180 degrees, and 270 degrees.
Shapes with rotational symmetry can be found in various objects and designs, such as logos, patterns, and natural formations. Understanding rotational symmetry helps in identifying and classifying shapes, as well as creating aesthetically pleasing designs.
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