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.

Answer 1

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




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 form

Answer 2

Please help

Answer 3

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 4

What is posted -- is that the mixed up statements and reasons of the question?

Or, is it what you are writing as an answer?

Answer 5

Is this the diagram?

Answer 6

yes

Answer 7

Is this the mixed statements and reasons?

Answer 8

It's missing a fifth one

Answer 9

Oh wait I got it

Answer 10

I am getting this from here:

http://openstudy.com/updates/52e07452e4b0b5e90a1663a2

Answer 11

Its III, I, IV, II, V

Answer 12

I don't know. On that link, there was no agreement.

Are these the options:

III, I, IV, II, V

III, V, II, IV, I

III, IV, I, II, V

I, IV, III, V, II

Answer 13

Yes

Answer 14

Do you think this is correct: Its III, I, IV, II, V

If so, I'll look at it first.

Answer 15

Ok... I got it thanx
btw I fanned you bro

Answer 16

III may be first but I don't see how I could be second.

Hey, what are you putting as the correct answer?

This is not it: Its III, I, IV, II, V

Answer 17

You are right about this: It's missing a fifth one

Answer 18

Im trying to see what it could be... I think its the one I put though.

Answer 19

Here is the correct problem.

Answer 20

Let's take a look at that and then share what we think is the correct order.

Answer 21

Yeah its the right one

Answer 22

The order has to begin with II because you have to establish the coordinates of the points BEFORE calculating slope or length.

Answer 23

Would you check your problem sources and see what the answer options are?

Double-check, please. Thanks.

Answer 24

See, somebody wrote these as options but they may not go with your text:

III, II, I, IV, V

III, I, IV, V, II

II, I, III, V, IV

II, III, I, IV, V

Answer 25

Here is my choice:

II, III, I, IV, V


What is yours? @yolo_king335

Answer 26

That's not an option

Answer 27

I asked you to check the options in your text.

Would you post them?

The first entry in the correct option has to be a 2. (II)

Answer 28

II, I, III, V, IV

II, III, I, IV, V

Between these two choices, the correct one is II, III, I, IV, V

Answer 29

Ok thanx

Answer 30

You are welcome.