Question

hepl please

Answer 1

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 Justification
I Segment DE is half the length of segment AC. By substitution
II Length of segment DE is and length of segment AC is
. By the distance formula
III The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
IV Segment DE is parallel to segment AC. Slopes of parallel lines are equal.
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? (5 points)


I, III, II, V, IV
III, II, I, V, IV
I, IV, III, II, V
III, I, II, IV, V