Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself.

Question

(1 point)
y-axis
• x-axis
y = 3
х = 3

Answer 1

To determine the line of symmetry for a polygon, you would need to analyze its shape and see if it can be folded over that line such that both halves match perfectly.

1. y-axis: A vertical line that divides the polygon into two equal parts on the left and right.
2. x-axis: A horizontal line that divides the polygon into two equal parts on the top and bottom.
3. y = 3: A horizontal line that lies above or below the center of the polygon, depending on its height and position.
4. x = 3: A vertical line that would also be assessed based on the polygon's location.

You would need to carefully consider which of these lines cuts the polygon into two identical mirrored images. For example, many regular polygons (like squares or rectangles) have multiple lines of symmetry, while irregular polygons may have none or only one.

If the polygon is symmetric around the y-axis, then the y-axis would be the line of symmetry. If it shows symmetry across the x-axis, then the x-axis would be the correct choice. Similarly, if the polygon has a defined center along y = 3 or x = 3, then those could potentially be lines of symmetry.

Without the specific figure for visual reference, I can't definitively state the answer. You would need to visually assess the symmetry. If you have a specific polygon in mind, I can help with more detailed consideration!