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.

Question

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

(1 point)
Responses

x=−m
x equals negative m

x=n
x equals n

y=−r
y equals negative r

y=0

Answer 1

To determine a line of reflection that flips a polygon onto itself, we need to consider the symmetry of the polygon in question. Since the hexagon is plotted in quadrants 3 and 4, a common line of reflection for shapes situated around these quadrants is the y-axis or a horizontal line.

In generalized cases involving hexagons with vertices symmetrically arranged, the reflection line could often be the x-axis (which is represented by \(y=0\)). This would reflect points across the x-axis, maintaining the hexagon's shape in the negative y region.

Therefore, the line of reflection that likely flips the hexagon onto itself is:

y = 0.