![]() The order of rotational symmetry is the number of times a figure can be rotated within 360° such that it looks exactly the same as the original figure. To perform a geometry rotation, we first need to know the point of rotation, the angle of rotation, and a direction (either clockwise or counterclockwise). The orientation of the image also stays the same, unlike reflections. Below are several geometric figures that have rotational symmetry. A rotation is an isometric transformation: the original figure and the image are congruent. Rotational symmetryĪ geometric figure or shape has rotational symmetry about a fixed point if it can be rotated back onto itself by an angle of rotation of 180° or less. For 3D figures, a rotation turns each point on a figure around a line or axis. Two Triangles are rotated around point R in the figure below. The term "preimage" is used to describe a geometric figure before it has been transformed and the term "image" is used to describe it after it has been transformed.įor 2D figures, a rotation turns each point on a preimage around a fixed point, called the center of rotation, a given angle measure. On the right, a parallelogram rotates around the red dot. In the figure above, the wind rotates the blades of a windmill. A rotation is a type of rigid transformation, which means that the size and shape of the figure does not change the figures are congruent before and after the transformation. ![]() In geometry, a rotation is a type of transformation where a shape or geometric figure is turned around a fixed point. Home / geometry / transformation / rotation Rotation
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