luisz 3 years ago 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

1. luisz

eh

2. luisz

hold on

3. luisz

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.

4. luisz

does that help at all?

5. luisz
6. luisz

hold up

7. luisz

8. luisz

9. luisz

10. luisz

11. luisz

helps any?

12. luisz

you guys there?

13. luisz

oh....

14. luisz

forgot

15. luisz

here are the answer choices...

16. luisz

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

17. KingGeorge
18. luisz

where did you find that?

19. KingGeorge

It was a question I answered two days ago.

20. luisz

Did you find it on FLVS online?

21. luisz

I am a Florida Virtual School Student

22. luisz

so

23. luisz

can you help me out here?

24. KingGeorge

First off, which choices can we easily eliminate?

25. luisz

Choice three is erroneous

26. luisz

AC is 0

27. KingGeorge

Right, any others you can see are obviously wrong?

28. luisz

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

29. luisz

But there was a flaw in her work

30. luisz

I have a feeling that her flaw was in choice 1

31. 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?

32. luisz

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

33. luisz

hmm

34. luisz

She only labeled them

35. luisz

she did not construct them

36. KingGeorge

Right. So the flaw is that she labeled them

37. luisz

k

38. luisz

by browser logged off automatically without my permission :(

39. luisz

i lost my answers

40. luisz

hold on

41. luisz

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

42. luisz

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

43. luisz

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

44. luisz

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

45. luisz

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

46. luisz

two more nasty suckers coming up

47. zjdogg420stoner

wats was the answer to this problem,