Question

Given the coordinates of the preiamge ,use the transformation give to provide the points of the image

Answer 1

The given problem utilizes the transformation of coordinate points via rotation (180 degrees CCW about the origin). When dealing with such problems, the transformation of coordinates will be done as

$P(x,y)\rightarrow P^{\prime}(-x,-y)$

Hence, for the given coordinates points on the problem, the transformed coordinate points will be

$\begin{gathered} A(0,3)\rightarrow A^{\prime}(0,-3)_{} \\ B(1,5)\rightarrow B^{\prime}(-1,-5) \\ C(4,3)\rightarrow C^{\prime}(-4,-3) \end{gathered}$