SOLUTION: A parallelogram has coordinates O(0,0), A(7,1), B(4,5) and C(-3,4) Use the midpoint formula to show that the diagonals of OABC bisect each other

Algebra ->  Length-and-distance -> SOLUTION: A parallelogram has coordinates O(0,0), A(7,1), B(4,5) and C(-3,4) Use the midpoint formula to show that the diagonals of OABC bisect each other      Log On


   



Question 85379: A parallelogram has coordinates O(0,0), A(7,1), B(4,5) and C(-3,4)
Use the midpoint formula to show that the diagonals of OABC bisect each other

Answer by scianci(186) About Me  (Show Source):
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Locate the midpoint of diagonal OB: ((0 + 4)/2 , ((0 + 5)/2) = (2 , 2.5)
Then locate the midpoint of diagonal AC: ((7 - 3)/2 , (1 + 4)/2) = (2 , 2.5)
Since they have the same midpoint, they bisect each other.