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. Rotating a shape means to change its direction by turning it.
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