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3. a figure undergoes a rotation of 90 degrees counterclockwise. how do…

Question

  1. a figure undergoes a rotation of 90 degrees counterclockwise. how do the coordinates of a point (x,y) change? a. (y,x) b. (-y,-x) c. (-y,x) d. (-x,-y)

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation of a point \((x,y)\) about the origin, we use the transformation rule.
The general rule for a 90 - degree counter - clockwise rotation of a point \((x,y)\) about the origin is \((x,y)\to(-y,x)\).

Answer:

C. \((-y,x)\)