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

x=−m
x equals negative m

y=−r

1 answer

To determine a line of reflection that would flip the hexagon onto itself, we need to find a line that is equidistant from corresponding points (or vertices) of the hexagon on either side.

Since the hexagon is in quadrants 3 and 4, and we are looking for a line of symmetry, we can consider the x-axis, which is represented by the equation \(y = 0\). This line would reflect points in quadrants 3 and 4 onto themselves.

Therefore, the correct answer is:

y = 0

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