Question

1.3.12

The coordinates of point T are (0,2). The midpoint of ST is (1, -5). Find the coordinates of point S.

Answer 1

(0.5,-1.5)

Explanation:

this is the numbers i got when I put it in...

m=(
`{-(1+0)/(2) , (-5+2)/(2)`)

(0.5,-1.5)

Answer 2

S = (2, - 12 )

Explanation:

Using the midpoint formula

(
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` )

Equate each of the coordinates of the midpoint

let S = (x, y ), then

(x₁, y₁ ) = T(0, 2) and (x₂, y₂ ) = S(x, y ), then

`(0+x)/(2)` = 1 ( multiply both sides by 2 )

x = 2

`(y+2)/(2)` = - 5 ( multiply both sides by 2 )

y + 2 = - 10 ( subtract 2 from both sides )

y = - 12

S = (2, - 12 )