Question

V is the midpoint of GH. G has coordinates (5,−3), and V has coordinates (−1,3). Identify the coordinates of H. HELP PLEASE!!

Answers:
(3, 3)
(−7, 9)
(−6, 6)

Answer 1

H ( - 7 , 9 )

let the coordinates of H = (x , y )

using the ' midpoint formula '

$\frac{1}{2}$ (x + 5) = -1 → ( multiply through by 2)

x + 5 = - 2 ⇒ x = - 2 - 5 = - 7

$\frac{1}{2}$ (y - 3) = 3 → (multiply through by 2)

y - 3 = 6 ⇒ y = 6 + 3 = 9

H( - 7 , 9 )