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

For a vertical line of reflection, we find the mid - point of the x - coordinates of corresponding points. Consider the left - most and right - most x - coordinates. Let's take the x - coordinates of the two points on the horizontal top and bottom sides. For the top side, the x - coordinates are $x_1=-4$ and $x_2 = - 2$. The formula for the mid - point of two numbers $a$ and $b$ is $x=\frac{a + b}{2}$.

Step2: Calculate the mid - point value

Substitute $a=-4$ and $b = - 2$ into the mid - point formula: $x=\frac{-4+( - 2)}{2}=\frac{-4 - 2}{2}=\frac{-6}{2}=-3$.

Answer:

$x=-3$