$(4)(8\%)$ Given a point $P$ in a window, after the window$-$to$-$viewport mapping, $AB$ is mapped to

$A^{\text{'}}{B}^{\text{'}}$ in the viewport. Derive the coordinate of $A^{\text{'}},B\text{'},$ and $C^{\text{'}},$ and draw the triangle $A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}.$

$A=(3,5)$;$B=(4,5\mathrm{.}5)$;$C=(5,4)$

$6$

Viewport

$2$

Please answer with extreme detail, as if you're explaning to a little kid. Please do NOT give other answers previously put up because they are incorrect. If you do this, I will report your answer an account.

For a correct answer, i will upvote!