SOLUTION: A parallelogram has vertices (5,0), (3,-3), (-4,-3) and (-2,0). The diagonals of the parallelogram intersect at their mid points. What are the coordinates of the intersection of th

Algebra ->  Linear-equations -> SOLUTION: A parallelogram has vertices (5,0), (3,-3), (-4,-3) and (-2,0). The diagonals of the parallelogram intersect at their mid points. What are the coordinates of the intersection of th      Log On


   

Question 1176078: A parallelogram has vertices (5,0), (3,-3), (-4,-3) and (-2,0). The diagonals of the parallelogram intersect at their mid points. What are the coordinates of the intersection of the diagonals
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

H I N T


If a segment  PQ  in a coordinate plane is given by coordinates of  its  endpoints


    P = (a,b)  and  Q = (c,d),


then the mid point is  M = (%28a%2Bc%29%2F2,%28b%2Bd%29%2F2).


So , the simple rule works:


    - x-coordinate of the mid point is arithmetic mean of the x-coordinates of endpoints

    - and similar rule works for y-coordinate.

Having it,  you can solve  ANY  problem of this class  ON  YOUR  OWN.