Question

Points A(-2,4) B(1,3) C(-4,1) and D form a parallelogram. what are the coordinates of D

Answer 1

D(-7, 2)

Explanation:

The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so ...

(A+C)/2 = (B+D)/2

We can solve for D by multiplying by 2 and subtracting B:

D = A + C - B

D = (-2, 4) +(-4, 1) -(1, 3) = (-2-4-1, 4+1-3)

D = (-7, 2)