Question

Write the coordinates of the vertices after a rotation 270° clockwise around the origin.Questions

Answer 1

The vertices of the given figure are:

`C(-7,-7),D(-2,-7),E(-2,-5),F(-7,-5)`

Recall that the coordinate rule for 270⁰ clockwise rotation around the origin is:

`(x,y)\rightarrow(-y,x))`

Apply this rule to the first vertex C(-7,-7):

`\begin{gathered} C(-7,-7)\rightarrow C^(\prime)(-(-7),-7) \\ \Rightarrow C^(\prime)=(7,-7) \end{gathered}`

Apply the same rule to other vertices to get:

`\begin{gathered} D^(\prime)(7,-2) \\ E^(\prime)(5,-2) \\ F^(\prime)(5,-7) \end{gathered}`

Answer:

C'=(7,-7)

D'=(7,-2)

E'=(5,-2)

F'=(5,-7)