dovedarling dovedarling
  • 15-09-2021
  • Mathematics
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If N(3,-1) is rotated 90° counterclockwise about the origin, what are the coordinates of N'?
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jimthompson5910 jimthompson5910
  • 15-09-2021

Answer:  (1, 3)

=======================================================

Explanation:

The rule for a 90 degree counterclockwise rotation is

[tex](x,y) \to (-y,x)[/tex]

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

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

[tex](x,y) \to (-y,x)\\\\(3,-1) \to (-(-1),3)\\\\(3,-1) \to (1,3)[/tex]

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

Check out the diagram below.

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