Question

I need help with this one

Answer 1

Answer:

The coordinates of the midpoint of the two vertices are

(0,2) (Third option)

Step-by-step explanation:

Coordinates Of A Midpoint

Given a pair of points in the plane

$\displaystyle P_1\ (x_1,y_1)\ ,\ P_2(x_2,y_2)$

the coordinates of the midpoint of both points are

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The vertices given in the figure are  

$\displaystyle v_1(-4,1),\ v_2\ (4,3)$

So the x-coordinate of their midpoint is

$\displaystyle x_m=\frac{-4+4}{2}=\frac{0}{2}=0$

And the y-coordinate of their midpoint is

$\displaystyle y_m=\frac{1+3}{2}=\frac{4}{2}=2$

So the coordinates of the midpoint of the two vertices are

(0,2), the third option