Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:
Given: ∆ABC
Prove: The midsegment between sidesand is parallel to side.
Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of with coordinates at

by the Midpoint Formula. Point E is the midpoint of with coordinates of

by the Midpoint Formula. The slope of is found to be 0 through the application of
the slope form

Question

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:
Given: ∆ABC
Prove: The midsegment between sidesand is parallel to side.
Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of  with coordinates at

 by the Midpoint Formula. Point E is the midpoint of  with coordinates of

 by the Midpoint Formula. The slope of  is found to be 0 through the application of
the slope form