For the points, p$1(1,1),$ p$2(3,1),$ p$3(4,2),$ and p$4(2,3),$ which define a $2-$D polygon, develop a single transformation matrix that $($a$)$ reflects about the line x $=0,($b$)$ translates by $1$ in both x and y directions, and $($c$)$ rotates about the z$-$axis by $180$