anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
eh
anonymous
  • anonymous
hold on
anonymous
  • anonymous
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.

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anonymous
  • anonymous
does that help at all?
anonymous
  • anonymous
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1001/1001_G4_Q12b.gif
anonymous
  • anonymous
hold up
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
helps any?
anonymous
  • anonymous
you guys there?
anonymous
  • anonymous
oh....
anonymous
  • anonymous
forgot
anonymous
  • anonymous
here are the answer choices...
anonymous
  • anonymous
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
KingGeorge
  • KingGeorge
Is it this question? http://assets.openstudy.com/updates/attachments/4fe3df92e4b06e92b872936f-yourmom14-1340333980899-georgeiiieiehjkdhkjs.jpg
anonymous
  • anonymous
where did you find that?
KingGeorge
  • KingGeorge
It was a question I answered two days ago.
anonymous
  • anonymous
Did you find it on FLVS online?
anonymous
  • anonymous
I am a Florida Virtual School Student
anonymous
  • anonymous
so
anonymous
  • anonymous
can you help me out here?
KingGeorge
  • KingGeorge
First off, which choices can we easily eliminate?
anonymous
  • anonymous
Choice three is erroneous
anonymous
  • anonymous
AC is 0
KingGeorge
  • KingGeorge
Right, any others you can see are obviously wrong?
anonymous
  • anonymous
and the distance formula was never used, so we can eliminate 4
anonymous
  • anonymous
But there was a flaw in her work
anonymous
  • anonymous
I have a feeling that her flaw was in choice 1
KingGeorge
  • KingGeorge
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?
anonymous
  • anonymous
Points D and E must be constructed, not simply labeled, as midpoints.
anonymous
  • anonymous
hmm
anonymous
  • anonymous
She only labeled them
anonymous
  • anonymous
she did not construct them
KingGeorge
  • KingGeorge
Right. So the flaw is that she labeled them
anonymous
  • anonymous
k
anonymous
  • anonymous
by browser logged off automatically without my permission :(
anonymous
  • anonymous
i lost my answers
anonymous
  • anonymous
hold on
anonymous
  • anonymous
wait!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
;D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
:D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
I didn't lose them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
k!!!!!!!!!!!!!!!!
anonymous
  • anonymous
two more nasty suckers coming up
anonymous
  • anonymous
wats was the answer to this problem,

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