Difference between revisions of "2012 AMC 10B Problems/Problem 3"
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Revision as of 20:09, 8 February 2014
Problem
The point in the 
-plane with coordinates (1000, 2012) is reflected across the line 
. What are the coordinates of the reflected point?
Solution
The line 
is a horizontal line located 
units beneath the point 
. When a point is reflected about a horizontal line, only the 
- coordinate will change. The 
- coordinate remains the same. Since the -coordinate of the point is units above the line of reflection, the new - coordinate will be 
. Thus, the coordinates of the reflected point are 
. 
See Also
| 2012 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
