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

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

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Kaylee 1 week 2021-09-10T12:44:21+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T12:46:14+00:00

    Answer:

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

    Step-by-step explanation:

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

    M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

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

    Substitute:

    M_{FG}(x,\ y)\\\\x=\dfrac{-5+(-3)}{2}=\dfrac{-8}{2}=-4\\\\y=\dfrac{-3+3}{2}=\dfrac{0}{2}=0

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