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 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 o

Answer 1

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

Answer 2

III, I, IV, II, V

III, V, II, IV, I

III, IV, I, II, V

I, IV, III, V, II