![]() ![]() Now that we have an idea of what quadrant we’d end up in, let’s take a look at the specific rules that tells exactly where each coordinate will go. If is counterclockwise, then is clockwise direction. ![]() You might also see rotations for, rotations of, and rotations of. So, don’t worry about rotating because we’ll end exactly where we started. Rotation of, we move this triangle from this quadrant or area into the next quadrant.Īnd we don’t do because it’s right back where we started. The -axis and -axis is perpendicular to each other. So, counterclockwise is the other direction. The hands of a clock move this way, counterclockwise means opposite of the clock. Let’s talk about rotation on the coordinate plane.įirst of all, whenever we say rotation of a positive angle, it always means counterclockwise. Step 2: After you have your new ordered pairs, plot each point. Step 1: For a 90 degree rotation around the origin, switch the x, y values of each ordered pair for the location of the new point. Now, we have the points of the image after the transformation: Rotating a polygon clockwise 90 degrees around the origin. Perform the operation within the notation to each coordinate point Identify the appropriate rotation notation There are many mathematical notations that can be used to represent rotations, but these principles always apply whatever notation is used. Rotations in the clockwise direction corresponds to rotations in the counterclockwise direction:Īpply a rotation of 270 degrees to triangle ABC with points A(1,5), B(3,2), and C(1,2). R 90, R 180, and R 270, where the rotation is always counterclockwise. Rotations notations are commonly expressed as ![]()
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