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.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). Label point D as the midpoint of with coordinates at by the Midpoint Formula. Label point E so it is the midpoint of with an ordered pair of by the Midpoint Formula. The slope of is found to be 0 through the application of the slope formula: When the slope formula is applied to , its slope is

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.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). Label point D as the midpoint of  with coordinates at  by the Midpoint Formula. Label point E so it is the midpoint of  with an ordered pair of  by the Midpoint Formula. The slope of  is found to be 0 through the application of the slope formula:  When the slope formula is applied to  , its slope is