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

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

Question

Statement Reason 
I Segment DE is half the length of segment AC. By substitution 
II Segment DE is parallel to segment AC. Slopes of parallel lines are equal. 
III The coordinates of point D are (4, 5) and coordinates of point E are (5, 3)  By the midpoint formula 
IV Length of segment DE is and length of segment AC is . By the distance formula 
V Slope of segment DE is -2 and slope of segment AC is -2. By the slope formula 

Which is the most logical order of statements and reasons for the proof?

anonymous · Answer

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