Question

(2,3) and (3,1) are opposite vertices in a parallelogram. If (0,0) is the third vertex then the forth vertex is_______.

Answer 1

Given that :

(2, 3) and (3, 1) are opposite vertices of a parallelogram.

Let the vertices are .

From the given data B and D are also an opposite vertices.

So,

Mid point of AC = mid point of BD.

Substitute the values .

.

Therefore, fourth vertex of parallelogram is .