![]() We know the earth rotates on its axis in real life, also an example of rotation. Any rotation is considered as a motion of a specific space that freezes at least one point. Thus, it is defined as the motion of an object around a centre or an axis. So from 0 degrees you take (x, y) and make them negative (-x, -y) and then you've made a 180 degree rotation. Rotation meaning in Maths can be given based on geometry. 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) For example, this animation shows a rotation of pentagon I D E A L about the point ( 0, 1). We do the same thing, except X becomes a negative instead of Y. What is a rotation A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. If you understand everything so far, then rotating by -90 degrees should be no issue for you. 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. We know that a 90 degree rotation will transform all of. A reflection is a flip of an object over a line. ![]() 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. The easiest way to do this is to simply map the new coordinate points according to our rotating rules. The transformation for this example would be T(x, y) (x+5, y+3). Our point is at (-1, 2) so when we rotate it 90 degrees, it will be at (-2, -1) ![]() What if we rotate another 90 degrees? Same thing. 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. When you rotate by 90 degrees, you take your original X and Y, swap them, and make Y negative. If you have a point on (2, 1) and rotate it by 90 degrees, it will end up at (-1, 2) In case the algebraic method can help you: ![]()
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