hello,

i have to show that if the midpoints of consecutive sides of any quadrilateral are connected the result is a parallelogram.

i know the answer but do not know how to get it, help with explaining the process would be appreciated.

First point:

Second Point:

Third Point:

Forth Point:

I think the midpoints are right but i am not sure, i got them myself.

Midpoint of line A:

Midpoint of line B:

Midpoint of line C:

Midpoint of line D:

Here is where i get stuck, i do not know how to prove that the slopes of opposite sides are equal.

thank you.