Question

Use the image to answer the question.

Hexagon upper W upper X upper Y upper Z upper U upper V is plotted in quadrants 3 and 4 of an unmarked coordinate plane. The coordinates of each vertex are labeled.

Refer to the polygon in the diagram. Identify a line of reflection that flips the polygon onto itself.

(1 point)
Responses

x=n
x equals n

y=0
y equals 0

y=−r
y equals negative r

x=−m

Answer 1

To identify a line of reflection that flips the hexagon onto itself, we first need to observe the symmetry of the figure.

1. If the figure has horizontal symmetry, the line of reflection would be \( y = 0 \).
2. If the figure has vertical symmetry, the line of reflection would be \( x = n \) (where \( n \) is the x-coordinate of the line).
3. If the figure has symmetry specific to its vertices, the reflection line could be \( y = -r \) or \( x = -m \).

Without the specific coordinates and shapes of the hexagon provided in the image, it’s challenging to give a definitive answer. However, if the hexagon is symmetric about the x-axis, the correct line of reflection would be \( y = 0 \).

Based on common scenarios in geometry, the line of reflection for a polygon that is symmetric about the x-axis is usually \( y = 0 \).

**Final Answer: y = 0**