To determine the line of reflection that flips the polygon onto itself, we need to analyze the options provided:
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y = 0: This line is the x-axis. If the polygon is symmetric with respect to the x-axis, then reflecting it over this line would result in the same shape.
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y = -y (y = 0): This notation is confusing, as it implies y = 0 again.
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x = -m: This is a vertical line. For this line to be a line of reflection, the polygon must show symmetry around some vertical line at \( x = -m \).
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x = n: This is another vertical line and requires the polygon to be symmetric around the vertical line at \( x = n \).
To provide a specific answer, we would need to visualize the polygon to determine which line of reflection is valid.
If you can describe the polygon or its symmetry, I can provide a more precise answer. If the polygon has reflection symmetry across the x-axis, then "y=0" would be the answer. If it has vertical symmetry, it could be one of the x= lines.