Geometric Rotation DefinitionĪ geometric rotation is a transformation that rotates an object or function about a given, fixed point in the plane at a given angle in a given direction. The location of the endpoint of this new segment is the rotation of the key point that is the endpoint of the original line segment. Then, orient the copied segment to form the given angle in the given direction with the original line segment. Next, for each of these line segments, create a new segment of equal length such that one endpoint of the new segment is the point of rotation. Then, draw a line segment from each of the key points to the point of rotation. How to Do Rotations in GeometryĪs with other transformations, begin by finding the key points’ coordinates in the given function or object. The point of rotation may be a vertex of a given object or its center in other situations. The most common point of rotation is the origin (0, 0). This measure can be given in degrees or radians, and the direction - clockwise or counterclockwise - is specified. The geometric object or function then rotates around this given point by a given angle measure. The angle of rotation will always be specified as clockwise or counterclockwise.īefore continuing, make sure to review geometric transformations and coordinate geometry.Ī rotation in geometry is a transformation that has one fixed point. The given point can be anywhere in the plane, even on the given object. ![]() ![]() Rotation in Geometry - Examples and ExplanationĪ rotation in geometry moves a given object around a given point at a given angle.
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