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. Example 1 Solution First, plot the point on the coordinate plane. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. Rotate point A about the origin by 90 degrees counterclockwise. If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. For example, heres the result of rotating a point about P by 30 °. A pre-image line segment where one endpoint is labeled P rotates the other part of the line segment and other endpoint clockwise negative thirty degrees. Rotation Rules: Where did these rules come from? If we want to describe a clockwise rotation, we use negative angle measures. Step 2: Apply the 90-degree clockwise rule for each given point to. If this triangle is rotated 270° clockwise, find the. Note: A rotation that is 90-degrees clockwise will have the same result as a rotation that is 270 degrees counterclockwise. Problem 1 : Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. A rotation is a type of transformation that turns a figure around a fixed point. Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! (-y, x) When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure. To rotate a figure by an angle measure other than these three, you must use the process from the Investigation. While we can rotate any image any amount of degrees, only 90, 180 and 270 have special rules. The rotation rule for 90° clockwise refers to the transformation of a point or object by rotating it 90 degrees in the clockwise direction around a fixed. Rotations can also be clockwise or counterclockwise.
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