Question

3 vertices of a parallelogram ABCD are A(1,2), B(2,4), C(3,7) find the coordinator of vertex 'D'

Answer 1

Hi Friend!!!

Here is ur answer !!!

The mid points of vertices are equal in parallelogram

So, let D(x,y)

AC mid point = BD mid point

(1+3/2 , 2+7/2) = (x+2/2 , y+4/2)

(4/2 , 9/2) = (x+2/2 , y+4/2)

x+2/2 = 2

x+2 = 4

x = 4-2

x = 2

y+4/2 = 9/2

y+4 = 9

y = 9-4

y = 5

So D coordinates = (x, y) = (2,5)

Hope it helps u : )