Question

(It’s a rectangular type with straight lines )Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself.
(1 point)
y-axis
• x-axis
y = 3
х = 3

Answer 1

To identify a line of symmetry that will flip a rectangular polygon onto itself, the options given are:

1. y-axis
2. x-axis
3. y = 3
4. x = 3

For a rectangular shape, you generally have two lines of symmetry:

- The **y-axis** (if the rectangle is centered on this axis) will divide the rectangle into two equal halves.
- The **x-axis** (if the rectangle is aligned horizontally and centered on this axis) will also divide the rectangle into two equal halves.

If the rectangle is positioned such that its center lies precisely on these axes, both lines serve as lines of symmetry.

However, the lines **y = 3** and **x = 3** would only be lines of symmetry if the rectangle is specifically placed or sized so that it is symmetric with respect to those lines.

In general, for a standard rectangular shape, both the **x-axis** and **y-axis** are valid answers. If only one is required:

- If the rectangle lies symmetrically about the y-axis, then the **y-axis** is a valid line of symmetry.
- If it lies symmetrically about the x-axis, then the **x-axis** is also a valid line.

Without the specific figure, I can suggest that both **y-axis** and **x-axis** could be potential answers. Please guide me if you have a specific orientation of the rectangle in mind!