Question

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

Answer 1

-5,0 would be the correct answer

Answer 2

Answer:

$(-5,-1)$

Step-by-step 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 $(-5,-1)$.