Question

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-column proof of the theorem is shown, but the statement and reasons are not in correct order. Statement Reason I The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula II Segment DE is half the length of segment AC. By substitution III Length of segment DE is and length of segment AC is By the distance formula IV Segment DE is parallel to segment AC. Slopes of parallel lines are equal. V Slope of segment DE is -2 and sl