Question

13. If A(2, 3), B(0, 2), C(3, 3) and D(x, 4) are the
vertices of parallelogram ABCD, then what is the
value of x?​

Answer 1

Step-by-step explanation:

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)