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. (1 point) x = is the vertical line of symmetry of the quadrilateral. check answer remaining attempts : 3

Explanation:

Step1: Identify x - coordinates of vertices

Vertices have x - coordinates 0, - 8, 0, - 8.

Step2: Calculate mid - point of x - coordinates

The formula for the mid - point of two numbers $a$ and $b$ is $\frac{a + b}{2}$. For the x - coordinates 0 and - 8, we have $\frac{0+( - 8)}{2}=\frac{-8}{2}=-4$. The vertical line of symmetry for the quadrilateral is $x=-4$ as it will evenly split the quadrilateral into two mirror - image halves.

Answer:

$x = - 4$