SOLUTION: In the parallelogram ABCD, A is (6,3) and C is (4,-1). What are the coordinates of the point of intersection of the diagonals?

Algebra ->  Parallelograms -> SOLUTION: In the parallelogram ABCD, A is (6,3) and C is (4,-1). What are the coordinates of the point of intersection of the diagonals?       Log On


   



Question 498542: In the parallelogram ABCD, A is (6,3) and C is (4,-1). What are the coordinates of the point of intersection of the diagonals?

Answer by solver91311(24713) About Me  (Show Source):
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The diagonals of a parallelogram bisect each other. Hence, the point of intersection of the two diagonals is the midpoint of either. Use the midpoint formulas:

and



where and are the coordinates of the given points and will be the coordinates of the midpoint (and point of intersection in this case)

John

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