Question

HIJK is a parallelogram because the midpoint of both diagonals is ____ which means the diagonals bisect each other.

Answer 1

ANSWER

The midpoint of both diagonals is

$(1,0)$
EXPLANATION

We can use either diagonals to determine the midpoint.

We use the midpoint formula

$( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )$

Let us use the first diagonals H(-2,2) and J(4,-2)

$( \frac{ - 2 + 4}{2} , \frac{ - 2+ 2}{2} )$

$( \frac{ 2}{2} , \frac{ 0}{2} )$

$( 1, 0)$

Using the second diagonals also gives,

$( \frac{ - 2 + 4}{2} , \frac{ - 3+ 3}{2} )$

$( \frac{ 2}{2} , \frac{ 0}{2} )$

$( 1, 0)$

Answer 2

Answer:

The answer is the third one