Question

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Answer 1

Statement Justification
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 Square root of 5 and length of segment AC is
2 multiplied by the square root of 5. By the distance 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

Answer 2

Which is the most logical order of statements and reasons for the proof?
A. II, III, I, IV, V

B. I, III, II, V, IV

C. I, III, II, IV, V

D. III, II, I, V, IV