Describing Rotations
Using Coordinates


To describe a rotation we need to specify the center of rotation and the angle of rotation.

Click the "On/Off" button on the applet to start it.

As usual you can adjust the transformation by first clicking on the mode button. Try to find patterns that tell you where the image is if you know where the object is. A good place to start is with the center at the origin and the angle of rotation 90° or 180° etc.

If the center of rotation is at (0,0) and the angle of rotation is 90°, where is the image of the point (x,y)?

If the center of rotation is at (h,k) and the angle of rotation is 90°, where is the image of the point (x,y)?

If you have had trigonometry you can answer this question: If the center of rotation is at (h,k) and the angle of rotation is a degrees, where is the image of the point (x,y)?


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e-mail: C. Mawata