To determine the line of symmetry for the given polygon with vertices W (-2, 5), D (-2, -1), R (8, -1), and A (8, 5), we can analyze the coordinates of the vertices.
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Plot the points:
- W is at (-2, 5)
- D is at (-2, -1)
- R is at (8, -1)
- A is at (8, 5)
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Visualize the shape:
- Points W and A are aligned vertically with a constant x-coordinate of -2 and 8, respectively.
- Points D and R are also aligned vertically but at the same x-coordinates as W and A.
The polygon made by these points is a rectangle that runs vertically from the points D to W and horizontally from the points R to A.
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Identify potential lines of symmetry:
- x-axis: This line is horizontal and would not flip the figure onto itself since it does not align with the vertices symmetrically.
- y = 3: This is a horizontal line between vertices W and A. When flipping across this line, the points will not map onto each other properly.
- y-axis: A vertical line down the center of the coordinates does not align with the vertices, so it would not work.
- x = 3: This is a vertical line. If you draw a line at x = 3, you can see that the rectangle created by the points is symmetrical about this line.
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Conclusion: The correct line of symmetry that can flip the figure onto itself is d. x = 3.