2012 AMC 10B Problems/Problem 3
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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
.
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