The vertices of the given figure are:
[tex]C(-7,-7),D(-2,-7),E(-2,-5),F(-7,-5)[/tex]
Recall that the coordinate rule for 270⁰ clockwise rotation around the origin is:
[tex](x,y)\rightarrow(-y,x))[/tex]
Apply this rule to the first vertex C(-7,-7):
[tex]\begin{gathered} C(-7,-7)\rightarrow C^{\prime}(-(-7),-7) \\ \Rightarrow C^{\prime}=(7,-7) \end{gathered}[/tex]
Apply the same rule to other vertices to get:
[tex]\begin{gathered} D^{\prime}(7,-2) \\ E^{\prime}(5,-2) \\ F^{\prime}(5,-7) \end{gathered}[/tex]
Answer:
C'=(7,-7)
D'=(7,-2)
E'=(5,-2)
F'=(5,-7)
