Three vertices of parallelogram ABCD are A22 B43 and C13 Ide

Three vertices of parallelogram ABCD are A(2,2), B(-4,3) and C(-1,-3). Identify the coordinates of vertex

The condition for a parallelogram with vertices (x1,y1), B(x2,y2), C(x3,y3) and D(x4,y4) is that

x1 + x3 = x2 + x4 and y1 + y3 = y2 + y4

Given:

x1 = 2, x2 = -4, x3 = -1 and

y1 = 2, y2 = 3, y3 = -3

Therefore 2 + (-1) = -4 + x4; Therefore x4 = 2-1+4 = 5

and 2 + (-3) = 3 + y4; therefore y4 = 2-3-3 = -4

The 4th vertex D = (5,-4)---Option 3