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Rotations in geometry rules3/30/2024 How to Rotate a Shape Using Tracing Paper ![]() Simply switch the x and y coordinates to get (1, 3) and then multiply the 1 by -1 to get (-1, 3). Simply switch the x and y coordinates and multiply the coordinate with the negative sign by -1.įor example, to rotate the point (3, 1) 270° clockwise, it becomes (-1, 3). To rotate a shape 270° counter-clockwise about the origin, the coordinates (x, y) become (y, -x). To rotate shape 270° clockwise about the origin, all original coordinates (x, y) becomes (-y, x). For example, the coordinate (-1, -4), will move to (1, 4) after a 180° rotation. If a coordinate is negative, it will become positive after a 180° rotation. Simply multiply each coordinate by -1 to rotate a shape 180°. For example, a coordinate at (3, 1) will move to (-3, -1) after a 180° rotation. To rotate a shape by 180° clockwise or counter-clockwise, the rule is to replace the (x, y) coordinates with (-x, -y). To use this rule, simply switch the (3, 1) to (1, 3) and then make the 3 negative to get (1, -3). Simply switch the x and y coordinates and multiply the coordinate with the negative sign by -1.įor example, use the rule (x, y) to (y, -x) to rotate the shape 90° clockwise. To rotate a shape 90° counter-clockwise about the origin, the coordinates (x, y) become (-y, x). To rotate shape 90° clockwise about the origin, all original coordinates (x, y) becomes (y, -x). The rules for rotating shapes using coordinates are: Rules for Rotating a Shape About the Origin ![]() When rotated, a shape remains the same distance away from the centre of rotation. The original shape is called the object and the rotated shape is called the image. You can tell that a shape has been rotated because it is not facing the same direction as it was originally. We also need to know what angle and direction the shape is rotated in.įor example, this triangle has been rotated 90° counter-clockwise about the point. A shape is often rotated about a specific point called the centre of rotation. The size and shape do not change during rotation. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.Rotating a shape means to change its direction by turning it. Explain how the coordinates of each point change after the rotation and give examples using different figures.īased on student responses, reteach concepts that students need extra help with. Use the practice problems of the guided notes to introduce graphing figures after rotations about the origin. Emphasize the concept of counterclockwise and clockwise rotations. Walk through the rules for each rotation and discuss the effects of rotating figures. Use the first page of the guided notes to introduce rotations about the origin for 90, 180, and 270 degrees. Refer to the last page of the guided notes for a more detailed example of how rotations are used in jet engines. For example, ask them how rotations are used in video games to move characters or objects.
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