Question

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

Which is the most logical order of stat

Answer 1

23145

Answer 2

so D looks correct for me

Answer 3

>:(

Answer 4

im bad at these statement and reason things..... honestly i dont understand 1 bit of it ...

Answer 5

ok, do you know how to calculate coordinate of D and E

Answer 6

You chose an option that has III first.
III states the what the slope of segment DE is.
How can you start by stating what the slope of DE is if you still don't know the coordinates of points D and E?

Answer 7

yup

Answer 8

actually wait no

Answer 9

so, you can do that and the second option will be your answer, so start with statement 2

Answer 10

Now look at II.
II has the coordinates of points D and E.
That means that II must come before III in the proof.

Answer 11

NEVER MIND!!!! I FIGURED IT OUT!!!

Answer 12

II and III must be in that order.
Once you have the same slopes, you can follow it with parallel, or I.
For the parallel part, you must have II, III, I in that order.

Answer 13

Now for the half length part.

Answer 14

Since the coordinates of A and C are given, you can find the length of AC.
Once you have the coordinates of D and E, you can find the length of DE.
That means II, II, I come first.
Then you need IV.
Once you have IV, you can conclude V.

Answer 15

That makes option D the correct answer, and @caozeyuan was correct all along.

Answer 16

Thanks!!!!!