Problem 34 of 34geo-034
In the standard coordinate plane, point is rotated counterclockwise about the origin. What are the coordinates of the image of ?
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Solution walkthrough1:50
- Plot . Rotating counterclockwise about the origin is a quarter turn to the left around .
- From the origin, you reach by going right, then up.
- Turn the whole path a quarter turn to the left. Going right becomes going up, and going up becomes going left.
- The turned path ends left and up from the origin, at . In general, moves to .
- Traps: turns clockwise. only swaps the numbers. only changes a sign.