Question

In Prallelogram ABCD, A(3,-4), B(-1,-3) & C(-6,2). Find the coordinates of D.​

Answer 1

Answer:

Let the coordinate of D be (x,y).

Construction: Join AC and BD

Mid-point of AC= Mid-point of BD

[3+(-6)/2, (-4)+2/2]=[(-1+x/2), (-3)+y/2]

(-3/2, -1)=[(-1+x/2), (-3)+y/2]

-1+x/2=-3/2                   (-3)+y/2=-1

-1+x=-3                          (-3)+y=-2

Hence,  x= -2                  y= 1

Therefor, coordinate of is D(-2,1)