Answer:
The coordinates of R are (6.5,-15.25).
Step-by-step 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 :
[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}[/tex]
We have [tex]x=0.5,y=-6.25,x_2=-5.5,y_2=2.75[/tex]
Let the coordinates of R are ([tex]x_1,y_1[/tex]).
Using this formula ,
[tex]0.5=\frac{x_1-5.5}{2}\implies x_1-5.5=1.0[/tex]
[tex]x_1=1.0+5.5=6.5[/tex]
[tex]-6.25=\frac{y_1+2.75}{2}[/tex]
[tex]-12.50=y_1+2.75[/tex]
[tex]y_1=-12.50-2.75=-15.25[/tex]
Hence, the coordinates of R are (6.5,-15.25).
