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

Question

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-axis
x -axis

y-axis
y -axis

x=3

Answer 1

To identify a line of symmetry for rectangle WARD, we can look at the properties of rectangles.

A rectangle has two lines of symmetry:

1. A vertical line that runs down the middle (which would correspond to the y-axis if the rectangle is centered around it).
2. A horizontal line that runs across the middle (which could be a line of the form \( y = k \) depending on the rectangle's position).

The options provided are:

• \( y = 3 \)
• x-axis
• y-axis
• \( x = 3 \)

Without a specific diagram, we can determine that:

1. If WARD is symmetrically positioned with respect to the y-axis, then the y-axis would be a line of symmetry.
2. If WARD has an equal height above and below the line \( y = 3 \), then \( y = 3 \) would also be a line of symmetry.
3. The x-axis would be a line of symmetry if the rectangle's length extends evenly both above and below it.
4. The line \( x = 3 \) suggests symmetry in terms of horizontal alignment but is less common as a line of symmetry for rectangles unless specifically positioned.

Without more context about the position of rectangle WARD, I would recommend examining the arrangement of the points. If rectangle WARD is centered along the x-axis or y-axis or equally split by \( y = 3 \), those options (y-axis or \( y = 3 \)) could be valid lines of symmetry.

However, if I were to select based on common attributes of rectangles:

• The y-axis or the x-axis are typical symmetric lines for rectangles.

If you want a definitive response and you know where exactly rectangle WARD is located or how high it is, please provide that, but generally, the best answer typically is the y-axis, reflecting the vertical symmetry of the rectangle.