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

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):}`

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