2012 AMC 10B Problems/Problem 3
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 1 |
Followed by Problem 3 | |
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| All AMC 10 Problems and Solutions | ||
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