Difference between revisions of "2012 AMC 10B Problems/Problem 3"

(Created page with "== Problem == The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000. What are the coordinates of the reflected point? <math> \textbf{(A)}...")
 
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== Problem ==
 
== Problem ==
  
The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000.  What are the coordinates of the reflected point?
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The point in the <math>xy</math>-plane with coordinates (1000, 2012) is reflected across the line <math>y=2000</math>.  What are the coordinates of the reflected point?
  
 
<math> \textbf{(A)}\ (998,2012)\qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012) </math>
 
<math> \textbf{(A)}\ (998,2012)\qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012) </math>

Revision as of 12:43, 24 February 2012

Problem

The point in the $xy$-plane with coordinates (1000, 2012) is reflected across the line $y=2000$. What are the coordinates of the reflected point?

$\textbf{(A)}\ (998,2012)\qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012)$