Question

( -2, 4 ) and ( 1, 0 ) are opposite vertices in a parallelogram. If ( -4, 0 ) is the third vertex, then the fourth vertex is ________

Answer:
A. (3,4)
B. (-1, -4)
C. (-7, 4)
D. (-2.0)

Answer 1

C. (-7, 4)

Explanation:

Diagonals of a parallelogram share a common midpoint

Let the fourth vertex be (x,y)

(-2-4)/2 , (4+0)/2 = (x+1)/2 , (y+0)/2

-3 , 2 = (x+1)/2 , y/2

-3 = (x+1)/2

x + 1 = -6

x = -7

y/2 = 2

y = 4