Question

The end vertices of one diagonal of
a parallelogram are (1, 3) and (5, 7),
then the mid-point of the other
diagonal is
O
(5,3)
О O
(-5,3)
O
(3,5)
O
(3,-5)​

Answer 1

Given :-

The end vertices of one diagonal of

a parallelogram are (1, 3) and (5, 7)

To Find :-

Mid-point of the other  diagonal is

Solution :-

We know that in a parallelogram two diagonal bisect each other. And, the mid point of the first diagonal is equal to point of the second diagonal

$\bf Mid-Point = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)$

$\sf Mid-Point = \bigg(\dfrac{5+1}{2},\dfrac{3+7}{2}\bigg)$

$\sf Mid-Point = \bigg(\dfrac{6}{2},\dfrac{10}{2}\bigg)$

$\sf Mid-Point = (3,5)$

Hence

Mid-point is (3,5)

Answer 2

Answer:

Given :-

The end vertices of one diagonal of a parallelogram are (1, 3) and (5, 7)

To Find :-

Mid-point of the other diagonal is

Solution :-

We know that in a parallelogram two diagonal bisect each other. And, the mid point of the first diagonal is equal to point of the second diagonal

➡ Mid-Point = (x1 + x2) / 2 and (y1 + y2) / 2

➡ ( 1 + 5 ) / 2 and ( 3 + 7 ) / 2

➡ 6/2 and 10/2

➡ 3 and 5

➡ Mid-Point = (3,5)

Hence, Mid-point is (3,5)