What are the coordinates of the image of (2,-5) after a counterclockwise rotation of 90 degrees about the origin?

hala718 | High School Teacher | (Level 1) Educator Emeritus

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).

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