Question

Without using distance formula show that the points of A(1,-2) ,B(3,6) ,C(5,10),D(3,2) are the vertices of parallelogram.....

Answer 1

Instead of finding the distances of all those points, its better to show that the midpoints of those vertices are equal.. And hence the diagonals are equal.. So its the vertices of parallelogram.. As one of its property is that its diagonals are equal..

Hope it helps!!!