Question

. A(1,-2) , B(2,3) , C(-3,2) and D(x, y) are the four vertices of parallelogram ABCD
find the values x and y​

Answer 1

Answer:

Solution

As given : A(2, 3), B(1, 4), C(0, -2) and D (x, y) are the vertices of a parallelogram. Diagonals of a parallelogram bisect each other

So, mid-point are same for both diagonals AC and BD.

2+02=1+x2 and 3−22=4+y2

⇒x=1andy=−3

⇒D(x,y)=(1,−3)