Question

I need answer and work shown step by step and if graph needs to be shown please show it as well

Answer 1

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

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

Therefore, the correct answer is option C.