Question

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

Answer 2

III, II, I, IV, V

II, III, I, IV, V

II, I, III, V, IV

III, I, IV, V, II