Wednesday, February 8, 2012

HOW DO WE GRAPH ROTATIONS?

There's 3 steps for you to graph rotations:

  • Find the angle of rotation
  • Find the direction (clockwise or counterclockwise)
  • Find the center of rotation 
A rotation is a type of transformation in which you rotate the figure. This is mostly use in Geometry. You may think rotation is hard, but it really isn't. If you know the rules of rotation you'll be great in a test and/or homework the teacher gives you. The rules are:
  • For 90 degrees:
                                  (A, B) -> (-B, A)
  • For 180 degrees:
                                    (A, B) -> (-A, -B)
  • For 270 degrees:
                                    (A, B) -> (B, -A)

As you can see, you only have to change the signs and/or switch the positions of the coordinates. Its pretty simple.
In the figure above,  the triangle P has been moved 90 degrees counterclockwise.

In this figure, it shows the Triangle in the grid rotating clockwise in every quadrant. 

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