8. Points $R,S$, and $T$ have the coordinates $R(5,-9),S(15,3)$, and $T(3,-8)$. Together the points make a triangle. If the triangle was translated so that point $R$ ended up at the coordinates $(8,12)$ what would be the new coordinates of point $S$ ?
$(9,25)$
$(13,15)$
$(18,24)$
$(19,19)$

Step 1 ：Given the coordinates of points R and S as R(5,-9) and S(15,3) respectively.

Step 2 ：Point R is translated to a new position (8,12).

Step 3 ：We need to find the new coordinates of point S after the same translation.

Step 4 ：The change in the x-coordinate from the original position of R to the new position is calculated as $8-5=3$.

Step 5 ：The change in the y-coordinate from the original position of R to the new position is calculated as $12-(-9)=21$.

Step 6 ：We apply the same changes to the coordinates of point S.

Step 7 ：The new x-coordinate of point S is calculated as $15+3=18$.

Step 8 ：The new y-coordinate of point S is calculated as $3+21=24$.

Step 9 ：So, the new coordinates of point S after the translation are $\boxed{{\displaystyle (18,24)}}$.