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Rectangle upper W (-2,5) upper A (8,5) upper R (8,-1) upper D (-2,-1) 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

y=3
y equals 3

x=3
x equals 3

x-axis
x -axis

y-axis
y -axis
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page 16 of 16

1 answer

To determine a line of symmetry for the rectangle WARD with vertices at W(-2, 5), A(8, 5), R(8, -1), and D(-2, -1), we can analyze the figure's geometric properties.

A rectangle has two lines of symmetry:

  1. A vertical line that runs through the midpoint of the rectangle, which would be the line \(x = 3\) in this case since the midpoint of the x-coordinates of W and A is \((\frac{-2 + 8}{2}, y) = (3, y)\) for any \(y\).
  2. A horizontal line that runs through the midpoint of the height, which would be the line \(y = 2\) since the midpoint of the y-coordinates of W and D is \((x, \frac{5 + (-1)}{2}) = (x, 2)\) for any \(x\).

Since the option that resembles the coordinate is \(x = 3\) which represents a vertical line of symmetry:

The correct response is: x=3