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Multiple Choice
Point T is at . What are the coordinates of point T' after reflecting over the y-axis followed by the x-axis?
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1
Identify the original coordinates of point T, which are given as \((-2, 5)\).
Recall that reflecting a point over the y-axis changes the x-coordinate to its opposite, while the y-coordinate remains the same. So, after reflecting over the y-axis, the new coordinates become \(( -(-2), 5 )\).
Simplify the coordinates after the first reflection to get \((2, 5)\).
Next, reflect the point \((2, 5)\) over the x-axis. Reflecting over the x-axis changes the y-coordinate to its opposite, while the x-coordinate remains the same. So, the coordinates become \((2, -5)\).
Thus, after reflecting point T over the y-axis followed by the x-axis, the coordinates of point T' are \((2, -5)\).