If $D\left({\alpha }_1,{\beta }_2\right),E\left({\alpha }_2,{\beta }_2\right),F\left({\alpha }_3,{\beta }_3\right)$ are the mid points of the sides of $\overline{BC},\overline{CA}$ and $\overline{AB}$ of the triangle ABC, then the vertices of $\Delta ABC$ are

$A=\left({\alpha }_2+{\alpha }_3-{\alpha }_1,{\beta }_2+{\beta }_3-{\beta }_1\right)$

$B=\left({\alpha }_1+{\alpha }_3-{\alpha }_2,{\beta }_1+{\beta }_3-{\beta }_2\right)$

$C=\left({\alpha }_1+{\alpha }_2-{\alpha }_3,{\beta }_1+{\beta }_2-{\beta }_3\right)$

If  $S\left(1,-1\right),T\left(2,-1\right)\text{and}U\left(3,2\right)$ are the midpoint of the sides of $\overline{QR},\overline{RP}$  and $\overline{PQ}$  of the $\Delta PQR$  then