Question

The points (3, -4) and (-6, 2) are the extremities of a diagonal of a parallelogram. If the third vertex is (-1, -3). Find the coordinates of the fourth vertex.

Answer 1

D is (-10,3)

Step-by-step explanation:

Let the vertices of a parallelogram ABCD be A(3,-4) and C(-6,2). Third Vertex B(-1,-3). Let us take D(x,y)

We know that slope of AB = slope of CD

 -3+4/-1-3 = y-2/x+6

 y - 2 = 1

 y = 3

 x + 6 = -4

x = -10

So the co-ordinates of D is (-10,3)