Use the image to answer the question.

Question

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

x-axis
x -axis

y=3
y equals 3

x=3
x equals 3

y-axis
y -axis
Skip to navigation

Answer 1

To determine a line of symmetry for the rectangle WARD with the given vertices, we first recognize the characteristics of the rectangle. The rectangle has coordinates:

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

To find a line of symmetry, we can look for a line that divides the rectangle into two identical halves.

1. Vertical Symmetry: A vertical line through the center of the rectangle can serve as a line of symmetry. The midpoints for the x-coordinates of W and A, and D and R are both at x = 3 (since (-2 + 8)/2 = 3). Thus, the line x = 3 is a line of symmetry.

2. Horizontal Symmetry: Similarly, we can check for horizontal symmetry based on the y-coordinates. However, the rectangle has points at y = 5 and y = -1, which does not provide a clear symmetry.

3. Other Lines of Symmetry: The x-axis is not a line of symmetry for this rectangle as flipping it over that line would not result in the same shape. The line y = 3 also does not apply as a line of symmetry.

Given these observations, the line of symmetry that will flip the figure onto itself is:

x = 3

Thus, the correct response is:

x = 3