The general rule for 90* CCW rotation of a figure about the origin, is:
[tex]\mleft(x,y\mright)\to(-y,x)[/tex]
By definition, the original figure is called "Pre-Image" and the new figure is called "Image".
Knowing the coordinates of each point of the figure, you can apply the rule shown. So you get that points of the new image are:
[tex]\begin{gathered} A\mleft(2,3\mright)\rightarrow A^{\prime}(-3,2) \\ B\mleft(5,3\mright)\rightarrow B^{\prime}(-3,5) \\ C\mleft(1,5\mright)\rightarrow C^{\prime}(-5,1) \\ D\mleft(6,5\mright)\rightarrow D^{\prime}(-5,6) \end{gathered}[/tex]
Therefore, the answers are:
1. The general rule is:
[tex](x,y)\to(-y,x)[/tex]
2. Knowing the points of both figures, you can draw them. The graph is:
3. The new image coordinates are:
