An octagon is plotted in quadrant 2 of a coordinate plane. The coordinates of each vertex are labeled.

Question

The polygon shown has a line of reflection that will cause the figure to carry onto itself. Complete the equation for the vertical line of reflection.

(1 point)
The vertical line of reflection of the polygon is the equation x=
.

Answer 1

For a polygon to have a vertical line of reflection, the x-coordinates of its vertices must be symmetric about a certain vertical line. In this case, the equation of the vertical line of reflection can be found by calculating the average of the x-coordinates of its vertices.

Let’s assume the x-coordinates of the octagon vertices in quadrant 2 are \( x_1, x_2, ..., x_8 \). To find the line of reflection, you would use the formula:

\[ x = \frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8}{8} \]

If you can provide the specific x-coordinates of the vertices, I can help you calculate the exact equation for the vertical line of reflection. If you have such coordinates or specific values, please share them, and I can complete the equation for you.