👤
Answered

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 :

MrRoyalgo

Answer:

(1,0)

Step-by-step explanation:

Given

[tex]H = (-2,2)[/tex]

[tex]I = (4,3)[/tex]

[tex]J = (4,-2)[/tex]

[tex]K = (-2,-3)[/tex]

Required

The midpoint of the diagonals

Midpoint is calculated as:

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

For H and J, the midpoint is:

[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

For I and K, the midpoint is:

[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

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

Answer:

option C

Step-by-step explanation:

Go Teaching: Other Questions