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

option C

Explanation:

Answer 2

(1,0)

Explanation:

Given

`H = (-2,2)`

`I = (4,3)`

`J = (4,-2)`

`K = (-2,-3)`

Required

The midpoint of the diagonals

Midpoint is calculated as:

`M = ((x_1+x_2)/(2),(y_1+y_2)/(2))`

For H and J, the midpoint is:

`M = ((-2+4)/(2),(2-2)/(2))`

`M = ((2)/(2),(0)/(2))`

`M = (1,0)`

For I and K, the midpoint is:

`M = ((4 - 2)/(2),(3-3)/(2))`

`M = ((2)/(2),(0)/(2))`

`M = (1,0)`

The midpoint of both diagonal is: (1,0)