Refer to the polygon in the diagram. Identify a line of reflection that flips the polygon onto itself. (1 point) Responses y=0 y equals 0 y=−y equals negative r x=−m x equals negative m x=n

1 answer

To determine the line of reflection that flips the polygon onto itself, we need to analyze the options provided:

  1. 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.

  2. y = -y (y = 0): This notation is confusing, as it implies y = 0 again.

  3. 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 \( x = -m \).

  4. 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.

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