If the points (-2, - 1), (1, 0), (x, 3)
and (1, y) form a parallelogram then the values of x and y respectively
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Step-by-step explanation:
Let the vertices of the parallelogram be A(-2, -1), B(1, 0), C(x, 3) and D(1, y). Since the diagonals of a parallelogram bisect each other the coordinates of the mid-point of AC = coordinates of the mid-point of BD.
(-2+x/2 , -1+3/2) = (1+1/2 , 0+y/2)
(-2+x/2, 1) = (1,y/2)
∴ x = 4, y = 2
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