90 rotation rule for geometry4/17/2024 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. Which point is the image of P? So once again, pause this video and try to think about it. Than 60 degree rotation, so I won't go with that one. 90 DEGREE CLOCKWISE ROTATION When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. 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. Fresh features from the 1 AI-enhanced learning platform. the few rotation rules for geometry when rotating a figure about the origin Learn with flashcards, games, and more for free. So this looks like aboutĦ0 degrees right over here. the few rotation rules for geometry when rotating a figure about the origin Learn with flashcards, games, and more for free. P is right over here and we're rotating by positive 60 degrees, so that means we go counterĬlockwise by 60 degrees. Here you can drag the pin and try different shapes: images/rotate-drag. Every point makes a circle around the center: Here a triangle is rotated around the point marked with a '+' Try It Yourself. So, lets just, instead of thinking of this in terms of rotating 270 degrees in the positive direction, in the counter-clockwise direction, lets think about, lets think about this, rotating this 90 degrees in the clockwise direction. Rotation 'Rotation' means turning around a center: The distance from the center to any point on the shape stays the same. It's being rotated around the origin (0,0) by 60 degrees. And 90 degree rotations are a little bit easier to think about. Rotation 'Rotation' means turning around a center: The distance from the center to any point on the shape stays the same. 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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