anonymous
  • anonymous
Geometry Angles: Point E is the midpoint of segment AB and segment CD. The coordinates are: A(-4,5), B(6,-5), and C(2,8). What are the coordinates of the point D? Help anyone?! (Need immediate help!)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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saifoo.khan
  • saifoo.khan
Do you know how to find E?
anonymous
  • anonymous
No. You don't need to know it though, or at least I don't think. E is the midpoint, so the middle of it all. But AB should equal CD. That's a true statement. But that' pretty much all I know.
saifoo.khan
  • saifoo.khan
|dw:1377563360075:dw|

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saifoo.khan
  • saifoo.khan
Are you sure the question is complete?
anonymous
  • anonymous
Yeah, that was all it gave me. I don't know... But it did have three options to choose from. here they are: (1.5, 4) (0,2) (0, -8)
saifoo.khan
  • saifoo.khan
What if we take this as a parallelogram?
anonymous
  • anonymous
Okay, that might make sense... Then what would you do?
saifoo.khan
  • saifoo.khan
|dw:1377564108398:dw|
saifoo.khan
  • saifoo.khan
|dw:1377564155240:dw|
saifoo.khan
  • saifoo.khan
Nope. I think i'm wrong
saifoo.khan
  • saifoo.khan
@KingGeorge
KingGeorge
  • KingGeorge
I think you started with the wrong points @saifoo.khan. A should be above the \(x\)-axis. But all you need for this, is the midpoint fomula\[\left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right)\]
saifoo.khan
  • saifoo.khan
Ah, dang! My bad. :/
KingGeorge
  • KingGeorge
First, you find the midpoint of A and B using that. Then you have a more interesting problem. You have one of the endpoints, and the midpoint. So you'll have to rearrange the equations a bit to solve for what you need. You following me @UsaChan<3?
anonymous
  • anonymous
Um, I think. And the point it asks me to find is point D. So your saying that by finding the midpoint I can rearrange the equations to find it?
anonymous
  • anonymous
To find D, I mean.
KingGeorge
  • KingGeorge
Exactly. So can you tell me what the midpoint is?
anonymous
  • anonymous
Okay, I worked it out on some scratch paper and got (26, 25)
KingGeorge
  • KingGeorge
Give me a minute, and I'll see what I get. Although just looking at that, it doesn't seem right.
KingGeorge
  • KingGeorge
For a midpoint of A and B, I'm getting (1,0). You might want to check your work to find any errors.
anonymous
  • anonymous
Uh... Oh! I know what I did. I thought you squared all the x's and y's in the equation. okay. let me re-work it.
anonymous
  • anonymous
yea, I got (1,0)
KingGeorge
  • KingGeorge
Excellent. Now we have two equations.\[\frac{2+x_2}{2}=1\]and\[\frac{8+y_2}{2}=0\]Solve for \(x_2,y_2\), and you should have the coordinates of D.
anonymous
  • anonymous
Really? oh, well I guess that would make sense if AB are congruent to DC. Okay, I shall try this! Wait, and am I putting in the x and y for C?
anonymous
  • anonymous
Oh, wait. nevermind. I got it. the x and y are the unknown cordinates :)
KingGeorge
  • KingGeorge
The equations I wrote out already have the x and y for C included (the 2 and 8 in the numerator). Just solve for x and y. Looks like you got it.
anonymous
  • anonymous
okay, is it (0, -8) ??
KingGeorge
  • KingGeorge
Looks perfect to me. Good job.
anonymous
  • anonymous
Yay! Thanks so much, I finally get it! :)
KingGeorge
  • KingGeorge
You're welcome.

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