SOLUTION: Figure ABCO is a parallelogram. coordinates are A(a,b) B(a+c,b) C(c,zero) O(zero,zero). What are the coordinates of the point of intersection of the diagonals? What are the coordin

Algebra ->  Parallelograms -> SOLUTION: Figure ABCO is a parallelogram. coordinates are A(a,b) B(a+c,b) C(c,zero) O(zero,zero). What are the coordinates of the point of intersection of the diagonals? What are the coordin      Log On


   



Question 190492: Figure ABCO is a parallelogram. coordinates are A(a,b) B(a+c,b) C(c,zero) O(zero,zero). What are the coordinates of the point of intersection of the diagonals? What are the coordinates of the point of intersection of the diagonals?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The diagonals of a parallelogram bisect each other, so the coordinates of the point of intersection are the coordinates of the midpoint of either diagonal. Use the midpoint formulae:





Where and are the coordinates of the endpoints of either diagonal. Then the ordered pair, will be your answer.

John