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.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_03/image0054e8c8d35.jpg

Answer 1

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 Square root of 5and length of segment AC is 2 multiplied by the square root of 5. By the distance formula
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?
III, V, II, IV, I
III, I, IV, II, V
III, IV, I, II, V
I, IV, III, V, II

i think the answer is the second one but i'm not sure

Answer 3

the link for the image doesn't work

Answer 4

I agree III comes first, but IV needs to happen before I

Answer 5

What do you think of the fourth one?

Answer 6

and V also needs to happen before II , that leaves only one option

Answer 7

the fourth one doesn't agree with V before II

Answer 8

is it the first one then ?

Answer 9

i'm confused

Answer 10

and yes the fourth says >> I, IV, III, V, II but i know that the III needs to come first , that's why i originally though it was the second option

Answer 11

ok, its simple, the last one is ruled out because starting with I just makes no sense.,
now , you can't say the slopes are equal withult calculating the slopes first, so V has to happen before II

Answer 12

okay so it would make sense for it be the first one because 3, needs to happen first . and V has to happen before and IV has to happen before I ?

Answer 13

*II

Answer 14

exactly

Answer 15

Thanks.