Question

URGENT HELP PLEASE! If you can please try to put a step-by-step explanation. THANK YOU!!

V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.

Answer 1

(-7, 9)

Explanation:

`midpoint = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

(x₁, y₁) is the coordinates of one endpoint

(x₂, y₂) is the coordinates of the other endpoint

Given that the midpoint V has coordinates of (-1, 3),

`( - 1,3) = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

Substitute the coordinates of G:

`( - 1,3) = ((x1 + 5)/(2) , (y2 - 3)/(2) )`

By observation:

`- 1 = (x1 + 5)/(2) ,\: \: 3 = (y2 - 3)/(2)`

-1(2)= x₁ +5 (×2 on both sides)

-2= x₁ +5

x₁= -2 -5

x₁= -7

3(2)= y₂ -3 (×2 on both sides)

6= y₂ -3

y₂= 6 +3

y₂= 9

Thus, the coordinates of H is (-7, 9).