Question

The midpoint of RT is S(0.5, –6.25). One endpoint is T(–5.5, 2.75). What are the coordinates of R?

Answer 1

(6.5, –15.25) Is the answer.

Answer 2

The coordinates of R are (6.5,-15.25).

Explanation:

We are given that

The midpoint of RT is S.

The coordinates of S are (0.5,-6.25).

The coordinates of point T are (-5.5,2.75).

We have to find the coordinates of R.

Mid- point formula :

`x=(x_1+x_2)/(2), y=(y_1+y_2)/(2)`

We have
`x=0.5,y=-6.25,x_2=-5.5,y_2=2.75`

Let the coordinates of R are (
`x_1,y_1`).

Using this formula ,

`0.5=(x_1-5.5)/(2)\implies x_1-5.5=1.0`

`x_1=1.0+5.5=6.5`

`-6.25=(y_1+2.75)/(2)`

`-12.50=y_1+2.75`

`y_1=-12.50-2.75=-15.25`

Hence, the coordinates of R are (6.5,-15.25).