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