AMC 10 Step by Step
2021 AMC 10BProblem 9P1-10~3 minPrint

The point P(a,b)P(a,b) in the xyxy -plane is first rotated counterclockwise by 9090^\circ around the point (1,5)(1,5) and then reflected about the line y=xy = -x . The image of PP after these two transformations is at (6,3)(-6,3) . What is ba ?b - a ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.