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.Com
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(52781)   (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 = (,).


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.



RELATED QUESTIONS

The diagonals of quadrilateral EFGH intersect 0(0, 3) has vertices a parallelogram ? E(1, (answered by ikleyn)
1. A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what... (answered by racoon)
the diagonals of a parallelogram intersect at (1,1). two vertices are located at (-6,4)... (answered by Edwin McCravy,robertb)
Suppose that Parallelogram ABCD has vertices A(2, 4), B(8, 4), C(5, -3) and D(-1, -3).... (answered by KMST)
Show that the points (1,-3),(4,3),(3,7) and (0,-1) are vertices of a... (answered by Alan3354)
Show that the points (-1, -3) (-2, 0) (1, 6) and (2, 3) are the vertices of a... (answered by Boreal)
Two consecutive vertices of a parallelogram are (3,-3) and (0,2).If their diagonals meet... (answered by Edwin McCravy)
The diagonals of a parallelogram JKLM intersect at P. If PM=3x-2, PK=x+3, and PJ=4x-3,... (answered by ikleyn)
This parallelogram has points A (2, 0), B (3, ?), and D (5, 0), and AB = (squareroot)10.... (answered by josgarithmetic)