![]() ![]() 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. Here is an easy to get the rules needed at specific degrees of rotation 90, 180, 270, and 360. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Having a hard time remembering the Rotation Algebraic Rules. Than 60 degree rotation, so I won't go with that one. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. 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. The line of reflection can be on the shape. The line that a shape is flipped over is called a line of reflection. Remember, it is the same, but it is backwards. 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). After a shape is reflected, it looks like a mirror image of itself. 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. While you got it backwards, positive is counterclockwise and negative is clockwise, there are rules for the basic 90 rotations given in the video, I assume they will be in rotations review. ![]()
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