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=−r y equals negative r x=−m x equals negative m x=n

2 answers

To identify a line of reflection that flips a polygon onto itself, we typically look for lines that act as axes of symmetry for the shape. Without seeing the diagram, I can provide some guidance based on common lines of reflection for various shapes:

  1. y = 0 (the x-axis): This would reflect a shape vertically, flipping it upside down.
  2. y = -r or y = negative r: This suggests a horizontal line below the x-axis; it might serve as a line of symmetry if the shape is symmetric about that line.
  3. x = -m or x = negative m: This represents a vertical line; it could reflect a shape if the shape is symmetric about that line.
  4. x = n: This is another vertical line; similarly, it could be a line of symmetry depending on the shape.

To determine which option is correct, consider the following:

  • If the polygon is symmetric horizontally, consider y = 0.
  • If the polygon is symmetric vertically, consider either x = -m or x = n.

If you can provide details about the polygon's shape or its symmetry, I could give a more specific answer. However, if no additional information is given, y = 0 (the x-axis) is a common line of reflection for many polygons.

The coordinates are, X is, (n,0) Y is, (?,?) Z is (?,?) U is, (?,-k) V is, (-m,-r) W is, (-n,0)
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