Rotate the figure 270° about the origin. List the coordinates of the vertices of the image.

A rotation of 270 degrees can be drawn as:
[tex]P=(x,y)\longrightarrow P^{\prime}=(y,-x)[/tex]We can apply this transformation to each of the vertices:
[tex]\begin{gathered} A=(0,2)\longrightarrow A^{\prime}=(2,0) \\ B=(1,4)\longrightarrow B^{\prime}=(4,-1) \\ C=(6,4)\longrightarrow C^{\prime}=(4,-6) \\ D=(5,2)\longrightarrow D^{\prime}=(2,-5) \end{gathered}[/tex]We can graph both figures as: