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### Geometry7.5 Rotation

 Rotation turns a figure about a fixed point, called the center of rotation. Rays drawn from the center of rotation to a point and its image form the angle of rotation. Rotations can be clockwise or counterclockwise. Coordinate Rules for Rotations about the origin: When a point (a,b) is rotated counterclockwise about the origin, the following rules are true: For a rotation of 900 (x,y) ® (-y, x). For a rotation of half turn or 1800 (x,y) ® (-x, -y). For a rotation of 2700 (x,y) ® (y, -x). When a point (a,b) is rotated clockwise about the origin, the following rules are true: For a rotation of 900(x,y) ® (y, -x). For a rotation of half turn or 1800 (x,y) ® (-x, y). Examples of figures rotated counterclockwise direction 900, 1800 and 2700: Directions: Use a graph paper and rotate the following figures for 900, 1800 and 2700 about the origin. Also list the coordinates of the vertices of the image: Using above data and choose the correct answer. Also write at least 5 examples of your own.
 Q 1: Find the image of (5,8) in the half turn about the origin.(-5,8)(-5,-8)(5,-8) Q 2: Find the image of (4,5) in the 900 counterclockwise direction.(4,-5)(-5,4)(-4,5) Q 3: Find the image of (3,4) in the 900 clockwise direction.(-4,3)(4,-3)(3,-4) Q 4: Find the image of (8,9) in the 900 counterclockwise direction.(-9,8)(8,-9)(-8,9) Q 5: Find the image of (3,4) in the half turn about the origin.(-3,-4)(3,-4)(-3,4) Q 6: Find the image of (3, 5) in the 900 counterclockwise direction.(-5,3)(-3,5)(3,-5) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!