![]() 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. You can rotate your object at any degree measure, but 90° and 180° are two of the. In the figure below, one copy of the octagon is rotated 22 ° around the point. Notice that the distance of each rotated point from the center remains the same. ![]() A rotation is a transformation that is performed by 'spinning' the object around a fixed point known as the center of rotation. In geometry, rotations make things turn in a cycle around a definite center point. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. Reflection over y -axis: T (x, y) (- x, y ) Reflection over line y x : T ( x, y) ( y, x ) Rotations - Turning Around a Circle. ![]() If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. 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! The rule of 180-degree rotation is ‘when the point M (h, k) is rotating through 180°, about the origin in a Counterclockwise or clockwise direction, then it takes the new position of the point M’ (-h, -k)’.
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