If A (1, 3) ; B (-1, 2) ; C (x, 4) and D (2, 5) are vertices of parallelogram then write the value of x.​

Answer:

The diagonals of a parallelogram bisect each other. The vertices of the ║gm ABCD are A(1,3) B(-1,2) C(2,5) and D(x,4).

Here, AC and BD are the diagonals.

\begin{gathered}\frac{1+2}{2}=\frac{-1+x}{2} \\\\x-1=3\\x=4\end{gathered}

2

1+2

=

2

−1+x

x−1=3

x=4