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

Answer 1

@Mertsj

Answer 2

this one im not sure because the order doesnt seem that important

Answer 3

III, I, IV, II, V

III, V, II, IV, I

III, IV, I, II, V

I, IV, III, V, II

Answer 4

Oh but it is. It makes no sense to have to conclusion of the proof as the first statement which is what they have.

Answer 5

b then?

Answer 6

@Mertsj

Answer 7

I'm thinking.

Answer 8

I'd say so even though there is something missing on step V

Answer 9

Slope of segment DE is -2 and slope of segment AC is -2.

Answer 10

reason: by slope formula

Answer 11

That's better.

Answer 12

same answer though?

Answer 13

yep