SOLUTION: Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices X (3,0), Y (3,8) Z (-2,6), and W (-2,-2). Thank You in Advance, Tutor!

Question 851443: Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices X (3,0), Y (3,8) Z (-2,6), and W (-2,-2).
Thank You in Advance, Tutor!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
You can make a graph both to answer and to check; but you can always use points of each pair of opposite corners to form the equations for the lines containing the diagonals, and then solve them as two simultaneous equations. The solution is the intersection point of the diagonals.

XZ
slope .
as if y-mx to get y intercept,

YW
slope .
y-intercept,.

FIND INTERSECTION
-
Equating expressions for y,

------One of the coordinates
-

--------Other coordinate
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices X (3,0), Y (3,8) Z (-2,6), and W (-2,-2).
Thank You in Advance, Tutor!

Calculate the midpoint of YW. This should be the same as the midpoint of XZ. This will be the intersection
of the 2 diagonals of the //gram.
** Note: Diagonals of a parallelogram BISECT each other.
You can do the check!!
If you need a complete and detailed solution, let me know!!
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