Question

The coordinates of the vertices of a parallelogram ABCD are A(−4, 3), B(x, 4), C(3, y) and D(−4, 0). Find the values of x and y.

Answer 1

Answer:

formula (x1+x2/2) (Y1+Y2/2)

AC=BD

(-4+3/2,3+Y/2) (X-4/2,4+0/2)

(-1/2 , 3y/2) (x-4/2,2)

(3y/2=1/2) (x-4/2=-2)

(6y=2) (x-4=-4)

y=1/3,x=0