SOLUTION: The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1 what I got is 0

Algebra ->  Formulas -> SOLUTION: The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1 what I got is 0      Log On


   



Question 388334: The vertices of a quadrilateral are A (0,0) B (x1,0) C (x2,y2) D (x3,y3). Show that if the diagonals AC, BD have the same midpoint then show y3=y2 and x3=x2-x1
what I got is
0+x2/2 , 0+y2/2 = (x2/2 , y2/2)
I don't know how to do the rest please show me step by step.
Thank you!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You've just shown that the midpoint of AC is


Now find the midpoint of BD to get


Since the AC and BD have the same midpoint, this means that


Which therefore means that


I'll leave the rest to you. Let me know if you need more help.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim