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 sides and 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). Construct point D so it is the midpoint of . Point D has coordinates at by the Distance between Two Points Postulate. Construct point E so it is the midpoint of . The ordered pair of point E is by the Distance between T

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 sides  and  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). Construct point D so it is the midpoint of . Point D has coordinates at  by the Distance between Two Points Postulate. Construct point E so it is the midpoint of . The ordered pair of point E is  by the Distance between T