But points, lines, and shapes can be rotates by any point (not just the origin)! When that happens, we need to use our protractor and/or knowledge of rotations to help us find the answer. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. The order of transformations performed in a composite transformation. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image). If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. ![]() Rotation Rules: Where did these rules come from? Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! 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).
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