Question

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Given: ∆ABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by th

Answer 1

eh

Answer 2

hold on

Answer 3

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Given: ∆ABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Label point E so it is the midpoint of Line segment BC with an ordered pair of Ordered pair the quantity of x sub 1 plus x sub 2 divided by 2; the quantity of 0 plus y sub 1 divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the definition of parallel lines.

Answer 4

does that help at all?

Answer 5

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1001/1001_G4_Q12b.gif

Answer 6

hold up

Answer 7

helps any?

Answer 8

you guys there?

Answer 9

oh....

Answer 10

forgot

Answer 11

here are the answer choices...

Answer 12

What is the flaw in Gina’s proof?

Points D and E must be constructed, not simply labeled, as midpoints.

Segments DE and AC are parallel by construction.

The slope of segments DE and AC is not 0.

The coordinates of D and E were found using the Distance between Two Points Postulate

Answer 13

Is it this question? http://assets.openstudy.com/updates/attachments/4fe3df92e4b06e92b872936f-yourmom14-1340333980899-georgeiiieiehjkdhkjs.jpg

Answer 14

where did you find that?

Answer 15

It was a question I answered two days ago.

Answer 16

Did you find it on FLVS online?

Answer 17

I am a Florida Virtual School Student

Answer 18

so

Answer 19

can you help me out here?

Answer 20

First off, which choices can we easily eliminate?

Answer 21

Choice three is erroneous

Answer 22

AC is 0

Answer 23

Right, any others you can see are obviously wrong?

Answer 24

and the distance formula was never used, so we can eliminate 4

Answer 25

But there was a flaw in her work

Answer 26

I have a feeling that her flaw was in choice 1

Answer 27

Right again. Now it's up to 1 or 2. Let's look at 1.

Did Gina construct D and E, or did she label them?

Answer 28

Points D and E must be constructed, not simply labeled, as midpoints.

Answer 29

hmm

Answer 30

She only labeled them

Answer 31

she did not construct them

Answer 32

Right. So the flaw is that she labeled them

Answer 33

k

Answer 34

by browser logged off automatically without my permission :(

Answer 35

i lost my answers

Answer 36

hold on

Answer 37

wait!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 38

;D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 39

:D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 40

I didn't lose them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 41

k!!!!!!!!!!!!!!!!

Answer 42

two more nasty suckers coming up

Answer 43

wats was the answer to this problem,