Difference between revisions of "2021 AMC 10B Problems/Problem 9"
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| − | + | ==Problem== | |
| + | The point <math>P(a,b)</math> in the <math>xy</math>-plane is first rotated counterclockwise by <math>90\deg</math> around the point <math>(1,5)</math> and then reflected about the line <math>y = -x</math>. The image of <math>P</math> after these two transformations is at <math>(-6,3)</math>. What is <math>b - a ?</math> | ||
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| + | <math>\textbf{(A)} ~1 \qquad\textbf{(B)} ~3 \qquad\textbf{(C)} ~5 \qquad\textbf{(D)} ~7 \qquad\textbf{(E)} ~9</math> | ||
Revision as of 17:38, 11 February 2021
Problem
The point 
in the 
-plane is first rotated counterclockwise by 
around the point 
and then reflected about the line 
. The image of 
after these two transformations is at 
. What is 
