![]() So from 0 degrees you take (x, y) and make them negative (-x, -y) and then you've made a 180 degree rotation. When you rotate by 180 degrees, you take your original x and y, and make them negative. ![]() If you have a point on (2, 1) and rotate it by 180 degrees, it will end up at (-2, -1) We do the same thing, except X becomes a negative instead of Y. If you understand everything so far, then rotating by -90 degrees should be no issue for you. Rotation math definition is when an object is turned clockwise or counterclockwise around a given point. Our point is as (-2, -1) so when we rotate it 90 degrees, it will be at (1, -2)Īnother 90 degrees will bring us back where we started. What about 90 degrees again? Same thing! But remember that a negative and a negative gives a positive so when we swap X and Y, and make Y negative, Y actually becomes positive. Our point is at (-1, 2) so when we rotate it 90 degrees, it will be at (-2, -1) Notice how the octagons sides change direction, but the general. ![]() In the figure below, one copy of the octagon is rotated 22 ° around the point. Notice that the distance of each rotated point from the center remains the same. What if we rotate another 90 degrees? Same thing. In geometry, rotations make things turn in a cycle around a definite center point. So from 0 degrees you take (x, y), swap them, and make y negative (-y, x) and then you have made a 90 degree rotation. At the 10:20 mark, there is a shortcut demonstrated that can b. When you rotate by 90 degrees, you take your original X and Y, swap them, and make Y negative. This video reviews the rules used for rotating figures in a coordinate plane about the origin. next lesson will discuss a few examples related to translation and rotation of axes. (x’, y’), will be given by: x x’cos y’sin. Then with respect to the rotated axes, the coordinates of P, i.e. If you have a point on (2, 1) and rotate it by 90 degrees, it will end up at (-1, 2) Let the axes be rotated about origin by an angle in the anticlockwise direction. In case the algebraic method can help you:
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