Question

The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).

Find the midpoint of FG

a- 0,4
b- 1,-2
c- 5,2
d- -4,0

Answer 1

`\large\boxed{d.\ (-4,\ 0)}`

Explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

`M_(AB)\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)`

We have the points F(-5, -3) and G(-3, 3).

Substitute:

`M_(FG)(x,\ y)\\\\x=(-5+(-3))/(2)=(-8)/(2)=-4\\\\y=(-3+3)/(2)=(0)/(2)=0`