SOLUTION: Given the parallelogram ABCD with vertices A(-4,7), B(3,6), C(2,4) and D(x,y), find the coordinates of D.

Algebra ->  Parallelograms -> SOLUTION: Given the parallelogram ABCD with vertices A(-4,7), B(3,6), C(2,4) and D(x,y), find the coordinates of D.      Log On


   



Question 297197: Given the parallelogram ABCD with vertices A(-4,7), B(3,6), C(2,4) and D(x,y), find the coordinates of D.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

To maintain the parallelogram, the relationship between D and A must be the same as the relationship between C and B.
To go from C to B, you need to move 1 in the x direction, 2 in the y direction.
So then to move from D to A, you need to move the same.
x%2B1=-4
x=-5
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y%2B2=7
y=5
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D:(-5,5)