Trapezoid midsegment midpoint without numberic coordinates

[csisterk]

I have a geometry problem...
I have four coordinates for an isos. trapezoid. the coordinates are: O (0,0) A(4w,4x) B ((4y, 4x) and c (4z and 0) the graph just shows a isos. trapezoid off of the x axis with the left bottom O on (0,0) C off of the x axis (no number) A is on the left corner and B is the right corner. I need to find the midpoint of the midsegment.. how do i do that? I don't even know where to start
This is driving me crazy..... please help

 

[tkhunny]

You should have theorems for that.

Average the sides, O and A then C and B. This will give midpoints of the two non-horizontal sides.

Average the two midpoints calculated above and you are done.