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Geometry 8 Online
OpenStudy (alekgar13):

Please help will give medal!

OpenStudy (solomonzelman):

No need for medals, just post a question, and will see what we can do about it.

OpenStudy (mokeira):

@SolomonZelman true!!!! We are here to help not compete

OpenStudy (alekgar13):

OpenStudy (alekgar13):

thanks everyone really appreciate it :)

OpenStudy (alekgar13):

please help

OpenStudy (alekgar13):

@Mokeira @SolomonZelman

OpenStudy (mokeira):

i have no idea....but let me try

OpenStudy (alekgar13):

thank you

OpenStudy (alekgar13):

@amistre64 @hartnn @cwrw238

OpenStudy (alekgar13):

please please help

OpenStudy (alekgar13):

@mokeira any luck?

OpenStudy (mokeira):

find equation of the lines

OpenStudy (alekgar13):

what do you mean?

OpenStudy (mokeira):

see what I have done

OpenStudy (alekgar13):

i think i figured it out ill attach it now

OpenStudy (alekgar13):

To prove that DE is parallel with AB we need to prove that D is the midpoint of AC and prove that E is the midpoint of BC. We see that D is half of (x1, y1). (x1,y1) is where C sits. So through substitution D is half the distance from the origin compared to C. because A is at the origin, D is the midpoint of AC. Now to prove E is the midpoint of BC. E is at ((x1+x2) /2, y1 /2). When finding the difference in distances between B and E you are left with half of (x1, y1), meaning it is half of C. meaning that the other half has to belong to B, therefore explaining that E is in the middle. and by the midpoint theorem which states that a line running through the midpoint of to sides of a triangle will be parallel with the third side.

OpenStudy (alekgar13):

@mokeira

OpenStudy (mokeira):

@alekgar13 nice one!!!! I even hadnt thought of that. That can work well

OpenStudy (alekgar13):

HAHA thanks, i mean it only took about two and a half hours

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