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4.3 Rotations
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Coordinate Rules for Rotations
For a rotation about the origin (0,0), a rotation of the give angle measure CLOCKWISE will have the following rule 90 degrees: (x,y) → (y, - x) 180 degrees: (x,y) → (- x, - y) 270 degrees:(x, y) → (- y, x) **Remember 180 is just inverse, 90/270 are converse and change the sign of one coordinate.
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Non 90 rotations Lets rotate A(4, 1) B(4, 3) and c(7, 1) 150 degrees about point O, the origin, clockwise. 1) Draw a 150 degree angle with one side AO. 2) Place point A’ such that A’O = AO. 3) Repeat steps 1-2 for other vertices.
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4.3 Rotation Postulate A rotation is a rigid motion.
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Rotational Symmetry A figure has rotational symmetry when it can be mapped onto itself by a rotation of 180 degrees or less about the center of the figure (center of symmetry).
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