Question

The end points of a diagonal of a parallelogram are $(1,3)$ and $(5,7)$, then the mid-point of the other diagonal is ..........

• A. $(1,7)$
• B. $(3,5)$
• C. $(5,3)$
• D. $(7,1)$

Answer 1

The correct option is B $(3,5)$

Given end points of diagonal of parallelogram $(1,3)$ and $(5,7)$

We know that the mid point of two point $(x_1,y_1)and(x_2,y_2)$ are

$\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}$

$\Rightarrow \frac{1+5}{2},\frac{3+7}{2}$

$\Rightarrow (3,5)$