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.Com
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) (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 =\left(\frac{x_{1}+x_{3}}{2} \ ,\frac{y_{3}}{2}\right))
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
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