To identify a line of symmetry for the polygon formed by the points W (-2, 5), A (8, 5), D (-2, -2), and R (8, -1), we can analyze the positions of the points.
- The points W and A have the same y-coordinate (5), and they are located symmetrically across the y-axis.
- The points D and R have different y-coordinates but have the same x-coordinate (8 for R and -2 for D).
Given this arrangement, the most promising lines of symmetry are the vertical and horizontal lines.
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The y-axis is a potential line of symmetry because the left side (W and D) and right side (A and R) can be reflected across it.
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The line y=3 can also be a line of symmetry since W and A are above it, and D and R are below it.
To determine if a line of symmetry is present, check if reflecting each point across the line yields another point in the set.
Conclusion: The correct lines of symmetry identified can be either the y-axis or the line y = 3. However, since the possibility of reflection is clear across the y-axis, it is the strongest symmetry present.
Thus, the best response is y-axis.