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What are the coordinates of the image of point (−1, 5) after a counterclockwise rotation of 90º about the origin?

User Apul Gupta
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2 Answers

5 votes
-5,0 would be the correct answer
User Malte Susen
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3 votes

Answer:


(-5,-1)

Explanation:

We have been given the coordinates of a point and we are asked to find the coordinates of he point after a counterclockwise rotation of 90º about the origin.

We know that after rotating a point 90 degree counter-clockwise about the origin, the x and y-coordinates changes places with each other and x-coordinate of new point becomes the negative of y-coordinate.


(x,y)\rightarrow (-y,x)

Applying the rotation rule the coordinates of new point would be:


(-1,5)\rightarrow (-5,-1)

Therefore, the required coordinates of the given point after a counterclockwise rotation of 90º about the origin would be
(-5,-1).

User Matti
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7.3k points