Question

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,−1)
(1,1)
(1,0)
(0,1)

Answer 1

(1,0)

Midpoint of H and J = ((-2+4)/2, (2+(-2))/2) = (1,0), and midpoint of I and K = ((4+(-2))/2, (3+(-3))/2) = (1,0), so the diagonals bisect each other.