Question

three consecutives vertices of a parallelogram are (3,0),(5,2),(-2,6) find the fourth vertex is it a rectangle​

Answer 1

Diagonals of a parallelogram bisect each other,

let the point of intersection of diagonals be P(m,n)

m = (-2+4)/2 = 1

n = (-1+3)/2 = 1

Let the fourth vertex of a parallelogram be (x,y)

m = (1+x)/2

1 = (1+x)/2

x = 1

n = (0+y)/2

1 = (0+y)/2

y = 2

____________________

Hence the fourth vertex is (1,2)

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Answer 2

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