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.

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.

anonymous · Answer

attachment

anonymous · Answer

Statement         	                                                 
I	Segment DE is half the length of segment AC.        	
II	Length of segment DE is   and length of segment AC is 
  .	                                                                               
III	The coordinates of point D are (4, 5) and coordinates of point E are (5, 3)	By                                    
IV	Segment DE is parallel to segment AC.	
V	Slope of segment DE is -2 and slope of segment AC is -2.

anonymous · Answer

Justification
BY SUBSTITUTION
BY DISTANCE FORMULA
BY THE MIDPOINT FORMULA
SLOPES OF PARALLEL ARE EQUAL
BY THE SLOPE FORMULA

anonymous · Answer

Which is the most logical order of statements and reasons for the proof?

anonymous · Answer

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