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

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 Square root of 5 and length of segment AC is 2 multiplied by the square root of 5
By the distance formula
V Segment DE is half the length of segment AC. By substitution

Answer 2

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

III, I, IV, V, II

II, I, III, V, IV

II, III, I, IV, V

Answer 3

What are you trying to prove?

Answer 4

the theorem i guess, this is all it gave me

Answer 5

I would start with III and then I

Answer 6

that sounds right