SOLUTION: The coordinates of the vertices of rhombus ABCD are A(1, 1), B(5, 3), C(7, 7), and D(3, 5). Find the coordinates of the point of intersection of the diagonals.

Algebra ->  Parallelograms -> SOLUTION: The coordinates of the vertices of rhombus ABCD are A(1, 1), B(5, 3), C(7, 7), and D(3, 5). Find the coordinates of the point of intersection of the diagonals.      Log On


   

Question 253247: The coordinates of the vertices of rhombus ABCD are A(1, 1), B(5, 3), C(7, 7), and D(3, 5). Find the coordinates of the point of intersection of the diagonals.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The coordinates of the vertices of rhombus ABCD are A(1, 1), B(5, 3), C(7, 7), and D(3, 5). Find the coordinates of the point of intersection of the diagonals. 


Since the diagonals of any parallelogram bisect each other,
we only need the midpoint of one diagonal.  It doesn't
matter which one we find the midpoint of.  The midpoint
formula for the midpoint between points (x1,y1) and (x2,y2) is
%22%28%22%28x%5B1%5D%2Bx%5B2%5D%29%2F2+,%28y%5B1%5D%2By%5B2%5D%29%2F2%22%29%22 

So the midpoint of diagonal BD is 

%22%28%22%285%2B3%29%2F2+,%283%2B5%29%2F2%22%29%22

%22%28%228%2F2+,8%2F2%22%29%22

%22%28%224+,4%22%29%22 

Edwin