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-axis
x -axis

y-axis
y -axis

y=3
y equals 3

x=3

1 answer

To determine the line of symmetry for the rectangle labeled "WARD" on the coordinate plane:

  1. Identify the shape and dimensions: A rectangle has two lines of symmetry.

  2. Symmetry Lines:

    • The vertical line of symmetry runs down the middle of the rectangle and is typically equidistant from the left and right sides.
    • The horizontal line of symmetry runs across the middle of the rectangle and is equidistant from the top and bottom sides.
  3. Possible answers:

    • The x-axis would only be a line of symmetry if the rectangle is positioned symmetrically around it, which is often not the case for a general rectangle.
    • The y-axis is likely a line of symmetry if the rectangle is centered along the y-axis.
    • The line y = 3 could be a line of symmetry if the rectangle is horizontally centered at y = 3.
    • The line x = 3 could serve as a line of symmetry if the rectangle is centered at x = 3.

Given these general properties of rectangles, if the rectangle "WARD" is centered either vertically or horizontally in relation to the axes mentioned, then the most typical lines of symmetry would be the x-axis and y-axis.

If the rectangle is specifically drawn such that:

  • It is symmetric about the y-axis, then that would be the line of symmetry.

Without seeing the actual figure, if you had to select a probable answer, the best general symmetry line for a vertical rectangle would most likely be the y-axis.

Let's select:

y - axis