Use the image to answer the question.

Question

Hexagon upper W (-n,0) upper X (n,0) upper Y (?,?) upper Z (?,?) upper U (?,-k) upper V (-m,-r)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

y=0
y equals 0

y=−r
y equals negative r

x=−m
x equals negative m

x=n

Answer 1

To determine a line of reflection that would flip the hexagon WXYZUV onto itself, we can analyze the coordinates provided:

• W (-n, 0)
• X (n, 0)
• U (-m, -r)
• V (-m, -r)
• The coordinates of Y and Z are unspecified, but it is indicated that the polygon is plotted in quadrants 3 and 4.

Given that W and X have coordinates on the line y=0 (the x-axis), it would make sense that the line of reflection is y=0 because this way, points would reflect vertically over the x-axis. Points situated on the x-axis remain unchanged and those located in negative quadrants (like U and V) would reflect into their corresponding positive quadrants, maintaining symmetry.

Therefore, the correct response is:

y=0