Question

a quadrilateral has vertices (0, 0), (-8, 0), (0, -6) and (-8, -6). complete the equation with the vertical line of symmetry that will carry the quadrilateral onto itself.

Explanation:

Step1: Identify x - coordinates of vertices

The x - coordinates of the vertices are \(x_1 = 0\) and \(x_2=-8\).

Step2: Calculate mid - point of x - coordinates

The formula for the mid - point of two numbers \(a\) and \(b\) is \(x=\frac{a + b}{2}\). Here \(a = 0\) and \(b=-8\), so \(x=\frac{0+( - 8)}{2}=\frac{-8}{2}=-4\).

Answer:

\(x = - 4\)