Use the image to answer the question.

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=−m
x equals negative m

y=−r
y equals negative r

y=0
y equals 0

x=n
x equals n
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Answer 1

To determine a line of reflection that flips hexagon WXYUZV onto itself, we need to identify a line that is equidistant from corresponding points of the hexagon.

Since the hexagon is plotted in quadrants 3 and 4, we can assess whether there is a line of symmetry along the x-axis (y = 0) or another vertical line.

The most common line of reflection for polygons in quadrants 3 and 4 is usually the x-axis or y-axis, assuming the polygon is symmetric about that line.

Given the options provided, without seeing the specific coordinates but understanding the general configuration:

• y = 0 (the x-axis) is likely to be a line of reflection, as it would flip the points in quadrants 3 and 4 to their corresponding locations and maintain the overall shape of the polygon.

Therefore, the best choice for the line of reflection that would flip hexagon WXYUZV onto itself is:

y = 0.