Question

I need help with this one

Answer 1

The coordinates of the midpoint of the two vertices are

(0,2) (Third option)

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=(x_1+x_2)/(2)`

`\displaystyle y_m=(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=(-4+4)/(2)=(0)/(2)=0`

And the y-coordinate of their midpoint is

`\displaystyle y_m=(1+3)/(2)=(4)/(2)=2`

So the coordinates of the midpoint of the two vertices are

(0,2), the third option