Use the image to answer the question.

Rectangle upper W upper A upper R upper D is plotted on a coordinate plane.

Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself.

(1 point)
Responses

x=3
x equals 3

y-axis
y -axis

x-axis
x -axis

y=3

1 answer

To identify the line of symmetry for the rectangle WARD plotted on a coordinate plane, we must consider how a rectangle behaves with respect to symmetry.

Rectangles have two lines of symmetry:

  1. One that runs vertically through the center of the rectangle (which would be the line \(x = 3\) if we assume the rectangle is centered at \(x = 3\)).
  2. One that runs horizontally through the center of the rectangle (which would be the line \(y = 3\) if it is centered at \(y = 3\)).

Since no specific coordinates or dimensions are given for the rectangle WARD, we can assume it is oriented regularly.

However, if we simply identify lines of symmetry typically associated with rectangles:

  • The correct answer would likely depend on the specific orientation. Most common choices for rectangles often include the vertical line of symmetry unless otherwise specified.

Thus, an appropriate line of symmetry that will flip the rectangle onto itself can be: x = 3 (if it is centered there) or y = 3 (if vertically aligned).

If given the context that it is centered at a specific point, you'd choose the corresponding symmetry line.

In general, based on common options, if the response is expected to only choose one: If the rectangle's relevant center is indeed suggested in the plot, x = 3 is a plausible symmetry line.

So, the answer is: x = 3.