Thread: transformation

A quarter turn is a 90 degree rotation. If the counterclockwise quarter-turn centered at (3,2) is applied to (7,1) what are the coordinates of the image? What are the image coordinates when this transformation is applied to a general point (x,y)?

I have (4,6) but i can't get the second one.

Pls find attached work.i have found a vector pattern for the transformation

Hello, Veronica1999!

A quarter turn is a 90 degree rotation.
If the counterclockwise quarter-turn centered at (3,2) is applied to (7,1),
. . what are the coordinates of the image?
What are the image coordinates when this transformation
. . is applied to a general point (x,y)?

We have the point and any point

Code:

      |                 y-2
      |             Q * - - *
      |                     :
      |                     :
      |                     : x-3
      |                     :
      |                     :
      |                     :P
      |                     *(x,y}
      |                 *   :
      |             *       :y-2
      |         *           :
      |   A * - - - - - - - *
      |   (3,2)   x-3
    --+------------------------
      |

Going from to , we move units right and up.

Going from to , we move units up and left.
. . (I hope you understand why.)

Therefore, point is at: .