Geometri and Affine Transformation

Question

$ABCD$ is a parallelogram and point $P$ divides $AB$ by a ratio of 2: 1. $AC$ and $DP$ lines intersect at $Q$ and $BQ$ and $AD$ lines intersect at $R$. Suppose $t$ is an affine transformation that successively determines the point $A, D,$ and $C$ to points $(1,0), (0,0),$ and $(1,0)$. The shadows $P, Q$ and $R$ respectively by transformation $t$ are ....