![]() That and it looks like it is getting us right to point A. Our center of rotation, this is our point P, and we're rotating by negative 90 degrees. To better organize out content, we have unpublished this concept. Please update your bookmarks accordingly. Click here to view We have moved all content for this concept to for better organization. Then connect the vertices to form the image. To rotate a figure in the coordinate plane, rotate each of its vertices. Lucky for us, these experiments have allowed mathematicians to come up with rules for the most common rotations on a coordinate grid, assuming the origin, \((0,0)\), as the center of rotation. We have a new and improved read on this topic. Algebraic Representations of Rotations - Concept - Examples with step by step explanation. When describing the direction of rotation, we use the terms clockwise and counter clockwise. Rotations can be described in terms of degrees (E.g., 90° turn and 180° turn) or fractions (E.g., 1/4 turn and 1/2 turn). Click Create Assignment to assign this modality to your LMS. When describing a rotation, we must include the amount of rotation, the direction of turn and the center of rotation. Which point is the image of P? So once again, pause this video and try to think about it. State rules that describe given rotations. Than 60 degree rotation, so I won't go with that one. And it looks like it's the same distance from the origin. Like 1/3 of 180 degrees, 60 degrees, it gets us to point C. So does this look like 1/3 of 180 degrees? Remember, 180 degrees wouldīe almost a full line. One way to think about 60 degrees, is that that's 1/3 of 180 degrees. So this looks like aboutĦ0 degrees right over here. P is right over here and we're rotating by positive 60 degrees, so that means we go counterĬlockwise by 60 degrees. It's being rotated around the origin (0,0) by 60 degrees. ![]() Which point is the image of P? Pause this video and see That point P was rotated about the origin (0,0) by 60 degrees. I included some other materials so you can also check it out. There are many different explains, but above is what I searched for and I believe should be the answer to your question. There is also a system where positive degree is clockwise and negative degree anti-clockwise, but it isn't widely used. Product of unit vector in X direction with that in the Y direction has to be the unit vector in the Z direction (coming towards us from the origin). ![]() Clockwise for negative degree.įor your second question, it is mainly a conventional that mathematicians determined a long time ago for easier calculation in various aspects such as vectors.
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