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 angle of rotation should be specifically taken. The following basic rules are followed by any preimage when rotating: Generally, the center point for rotation is considered \((0,0)\) unless another fixed point is stated. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. There are some basic rotation rules in geometry that need to be followed when rotating an image. A rotation of 90 degrees is the same thing as -270 degrees. 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. The figure can rotate around any given point. If the number of degrees are negative, the figure will rotate clockwise. There are specific rules for rotation in the coordinate plane. ![]() However, a clockwise rotation implies a negative magnitude, so a counterclockwise turn has a positive magnitude. The most common rotation angles are 90, 180 and 270. If the number of degrees are positive, the figure will rotate counter-clockwise. Rotation can be done in both directions like clockwise as well as counterclockwise. Rotation Rules: Where did these rules come from? Although a figure can be rotated any number of degrees, the rotation will usually be a common angle such as 45 or 180. Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! ![]() Know the rotation rules mapped out below. ![]() Rotation by 90 ° about the origin: A rotation by 90 ° about the origin is shown.
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