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Of A(-2,-1),B(a ,0),C(4, b) and D(1,2) a...

Of `A(-2,-1),``B(a ,0),``C(4, b)` and `D(1,2)` are the vertices of a parallelogram, find the values of `a` and `b`.

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If A(-2, -1), B(a,0), C(4,b) and D(1,2) are the vertices of a parallelogram. Complete activity to find the values of a and b. Activity : A(-2,-1), B(a,0), C(4,0) and D(1,2) are the vertices of a parallelogram Diagonals of parallelogram bisect each other :. midpoint of diagonal AC = Midpoint of diagonal BD By midpoint formula, ((-2 + 4)/(2), (-1 + b)/(2)) = ((a + 1)/(2), (square)/(square)) :. (square, (-1 + b)/(2)) = ((a + 1)/(2), 1) {:( :. square = (a + 1)/(2)),("on simplifying, we get"),(a = square):}|:{:((-1 + b)/(2) = square),("on simplifying, we get"),(b = square):}