Question

If N(3,-1) is rotated 90° counterclockwise about the origin, what are the coordinates of N'?

Please help!!​

Answer 1

Answer: (1, 3)

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Step-by-step explanation:

The rule for a 90 degree counterclockwise rotation is

`(x,y) \to (-y,x)`

This rule only works if the center of rotation is the origin.

If we apply that rule to point N, then we have

`(x,y) \to (-y,x)\\\\(3,-1) \to (-(-1),3)\\\\(3,-1) \to (1,3)`

Therefore, point N' is located at (1,3)

Check out the diagram below.