Answer the given question with proper steps.:
Q. If A(-2,1) B(a,0), C(4,b) and D(1,2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides.
A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram.
As, we know that,
Diagonals of parallelogram bisect each other.
∴ Mid point of diagonals AC = Mid point of diagonal BD
⇒ a + 1 = 2 and 1 + b = 2
⇒ a = 1 and b = 1
Thus, the value of
b = 1