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 =

Explanation:

Step1: Find mid - point of x - coordinates

The two key points are (-4, 1) and (-2, 1). For a vertical line of reflection of a figure, we find the mid - point of the x - coordinates of corresponding points. The formula for the mid - point of two x - values $x_1$ and $x_2$ is $x=\frac{x_1 + x_2}{2}$. Here $x_1=-4$ and $x_2=-2$.
$x=\frac{-4+( - 2)}{2}$

Step2: Calculate the value of x

First, simplify the numerator: $-4+( - 2)=-4 - 2=-6$. Then, $\frac{-6}{2}=-3$.

Answer:

$x = - 3$