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 =
check answer remaining attempts : 3

Explanation:

Step1: Identify key points

We have points $(-4,1)$ and $(-2,1)$.

Step2: Find mid - point

The formula for the mid - point of two points $(x_1,y_1)$ and $(x_2,y_2)$ in the x - direction is $x=\frac{x_1 + x_2}{2}$. Here $x_1=-4$ and $x_2=-2$, so $x=\frac{-4+( - 2)}{2}=\frac{-6}{2}=-3$. The vertical line of reflection is $x = - 3$ as it will make the polygon carry onto itself.

Answer:

$x = - 3$