![]() Identify whether or not a shape can be mapped onto itself using rotational symmetry. ![]() Describe the rotational transformation that maps after two successive reflections over intersecting lines.Describe and graph rotational symmetry.In the video that follows, you’ll look at how to: For 90 degree rotations: (a, b) > (-b, a) A 90° rotation bring our original coordinates of (8, 3) to (-3, 8). The order of rotations is the number of times we can turn the object to create symmetry, and the magnitude of rotations is the angle in degree for each turn, as nicely stated by Math Bits Notebook. Rotation turning the object around a given fixed point. And when describing rotational symmetry, it is always helpful to identify the order of rotations and the magnitude of rotations. And just as we saw how two reflections back-to-back over parallel lines is equivalent to one translation, if a figure is reflected twice over intersecting lines, this composition of reflections is equal to one rotation. You can perform seven types of transformations on any shape or figure: Translation moving the shape without any other change. This means that if we turn an object 180° or less, the new image will look the same as the original preimage. Lastly, a figure in a plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 180° or less.
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