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)

Diagonals of a parallelogram bisect each other. So the midpoint of the given diagonal will be the midpoint of the diagonal as well.
Midpoint of the line joining two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
So midpoint of the diagonal is $(\frac{1+5}{2},\frac{3+7}{2})=(3,5)$