![]() ![]() But points, lines, and shapes can be rotates by any point (not just the origin)! When that happens, we need to use our protractor and/or knowledge of rotations to help us find the answer. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: Note that a geometry rotation does not result in a. ![]() To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. Rotation Geometry Definition: A rotation is a change in orientation based on the following possible rotations: 90 degrees clockwise rotation. In other words, switch x and y and make y negative. Rotation Rules: Where did these rules come from? The most common rotations are 180 or 90 turns, and occasionally, 270 turns, about the origin, and affect each point of a figure as follows: Rotations About The Origin 90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A (x,y) becomes A' (-y,x). Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! Know the rotation rules mapped out below.Use a protractor and measure out the needed rotation.We can visualize the rotation or use tracing paper to map it out and rotate by hand.There are a couple of ways to do this take a look at our choices below: Let’s take a look at the difference in rotation types below and notice the different directions each rotation goes: How do we rotate a shape? ![]() Rotations are a type of transformation in geometry where we take a point, line, or shape and rotate it clockwise or counterclockwise, usually by 90º,180º, 270º, -90º, -180º, or -270º.Ī positive degree rotation runs counter clockwise and a negative degree rotation runs clockwise. ![]()
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