![]() ![]() The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x). Therefore, the algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x) Therefore, the coordinate of a point (3, -6) after rotating 90° anticlockwise and 270° clockwise is (-6, -3). Rotating 270° clockwise, (x, y) becomes (y, -x) In general, rotation can occur at any point with an uncommon rotation angle, but we will focus on common rotation angles like 90, 180, 270. Rotating 90° anticlockwise, (x, y) becomes (-y, x) For rotations of 90, 180, and 270 in either direction around the origin (0. A rotat ion does this by rotat ing an image a certain amount of degrees either clockwise or counterclockwise. Given, the coordinate of a point is (3, -6) A rotation is a type of rigid transformation, which means it changes the position or orientation of an image without changing its size or shape. In the mathematical term rotation axis in two dimensions is a mapping from the. What will be the coordinate of a point having coordinates (3,-6) after rotations as 90° anti-clockwise and 270° clockwise? The rotation transformation is about turning a figure along with the given point. ![]() Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise. The amount of rotation is called the angle of rotation and it is measured in degrees. Rotation is a geometric transformation that involves rotating a figure a certain number of degrees about a fixed point. The fixed point is called the center of rotation. 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.What is the algebraic rule for a figure that is rotated 270° clockwise about the origin?Ī rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: Determine the rules for transformations when given graphed figures undergoing rotations. Graph figures on coordinate planes after rotations about the origin. To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. After this lesson, students will be able to: Identify and describe rigid transformations, specifically rotations, including rotations of 90, 180, and 270 degrees 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! ![]()
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