Respuesta :

SOLUTION.

AC and BD will intersect at the mid-point between points A and C.

So let's find the mid-point between points A and C

Point A(-2, 4) and point C(-6, 0)

This becomes

[tex]\begin{gathered} \text{Mid}-poi\text{nt = (}\frac{x1+x2}{2}),(\frac{y1+y2}{2}) \\ \\ =\frac{-2-6}{2},\text{ }\frac{4+0}{2} \\ \\ =\frac{-8}{2},\text{ }\frac{4}{2} \\ \\ \text{Mid-point= (-4, 2) } \end{gathered}[/tex]

Therefore, the correct answer is option C.