.Complete the following proof. Show all of your work.
Prove: The segment joining the midpoints of two sides of a triangle is parallel to the third side.

1. Assign (x, y) coordinates to points A, B, and C.
2. Calculate the (x, y) values for points M and N.
3. Calculate the slope of MN.
4. Calculate the slope of AB.
5. Show that the slopes are equal. What can you conclude? B