Question

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

Answer 1

Answer:

  D(-7, 2)

Step-by-step 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)