![]() ![]() 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. 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. The new position of point C ( 2, 4 ), when rotated by 180 degrees clockwise or counterclockwise, is C’ ( -2, -4 ). 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. 0 Comments The new position of point D ( -3, -7 ), when rotated by 180 degrees clockwise or counterclockwise, is D’ ( 3, 7 ). ![]() Our point is at (-1, 2) so when we rotate it 90 degrees, it will be at (-2, -1) Step 3 : Based on the rule given in step 1, we have to find the vertices of the reflected triangle ABC. So the rule that we have to apply here is (x, y) -> (y, -x). ![]() Step 2 : Here triangle is rotated about 90° clock wise. The figure can rotate around any given point. If the number of degrees are negative, the figure will rotate clockwise. If the number of degrees are positive, the figure will rotate counter-clockwise. What if we rotate another 90 degrees? Same thing. Step 1 : First we have to know the correct rule that we have to apply in this problem. Although a figure can be rotated any number of degrees, the rotation will usually be a common angle such as 45 or 180. 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) As per the definition of rotation, the angles APA, BPB, and CPC, or the angle from a vertex to the point of rotation (where your finger is) to the transformed vertex, should be equal to 90 degrees. In case the algebraic method can help you: ![]()
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