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

Answer:

(-7, 9)

Step-by-step explanation:

$midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

(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),

$( - 1,3) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

Substitute the coordinates of G:

$( - 1,3) = (\frac{x1 + 5}{2} , \frac{y2 - 3}{2} )$

By observation:

$- 1 = \frac{x1 + 5}{2} ,\: \: 3 = \frac{y2 - 3}{2}$

-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).