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imc

prealgebra junior

Problem

The point in the -plane with coordinates is reflected across the line . What are the coordinates of the reflected point?
(A)
(B)
(C)
(D)
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 .
Final answer
B