What are the coordinates of the image of (2,-5) after a counterclockwise rotation of 90 degrees about the origin?
Let the point be p(2,-5), we need to find the reflection point p'(x,y) after rotation of 90 degree about the origin point O(0,0).
==> We know that if the point p(A,B) translated 90 degree about the origin, then the image p' is (-B,A).
==> Given that p(2,-5) ==> p'(-(-5), 2) = p'(5, 2)
Then, the image is the point (5,2).