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geometry intermediate

Problem

The triangle with vertices , and is rotated 90 degrees counterclockwise about . What are the coordinates of the image of (the point where is located after the rotation)? Express your answer as an ordered pair.
Solution
Draw point and point and rotate 90 degrees counterclockwise about , as shown. Point is 3 units above , so its image is 3 units to the left of at .

Final answer
(1,1)