Question

lesson 8 symmetry back to intro page 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 (-5.4, 4.4) (-0.6, 4.4) (-5.4, 2.4) (-0.6, 2.4) (-4, 1) (-2, 1)

Explanation:

Step1: Find mid - point of x - coordinates

For a vertical line of reflection of a symmetric figure, we can find the line by calculating the mid - point of the x - coordinates of corresponding points. Let's take two corresponding points, say $(-5.4,4.4)$ and $(-0.6,4.4)$. The formula for the mid - point of two x - values $x_1$ and $x_2$ is $x=\frac{x_1 + x_2}{2}$. Here $x_1=-5.4$ and $x_2=-0.6$.
$x=\frac{-5.4+( - 0.6)}{2}$

Step2: Simplify the expression

First, add the numbers in the numerator: $-5.4+( - 0.6)=-5.4 - 0.6=-6$. Then divide by 2: $\frac{-6}{2}=-3$.

Answer:

$x = - 3$