Answer:
see explanation
Step-by-step explanation:
Using the midpoint formula to equate the x and y coordinates of the endpoints to the x and y coordinates of the midpoint, that is
(6)
let ( x, y ) be the coordinates of the required endpoint, then
x → [tex]\frac{x+6}{2}[/tex] = 2 ( multiply both sides by 2 )
x + 6 = 4 ( subtract 6 from both sides )
x = - 2 and
y → [tex]\frac{y+2}{2}[/tex] = 0 , thus
y + 2 = 0 ( subtract 2 from both sides )
y = - 2
Coordinates of the other endpoint = (- 2, - 2)
(7)
x → [tex]\frac{x-4}{2}[/tex] = - 1 ( multiply both sides by 2 )
x - 4 = - 2 ( add 4 to both sides )
x = 2 and
y→ [tex]\frac{y+3}{2}[/tex] = - 1 ( multiply both sides by 2 )
y + 3 = - 2 ( subtract 3 from both sides )
y = - 5
Coordinates of the other endpoint = (2, - 5)
(8)
x → [tex]\frac{x+7}{2}[/tex] = 2 ( multiply both sides by 2 )
x + 7 = 4 ( subtract 7 from both sides )
x = - 3 and
y → [tex]\frac{y+3}{2}[/tex] = 1 ( multiply both sides by 2 )
y + 3 = 2 ( subtract 3 from both sides )
y = - 1
Coordinates of the other endpoint = (- 3, - 1)
