Question

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

Answer 1

A rotation of 270 degrees can be drawn as:

`P=(x,y)\longrightarrow P^(\prime)=(y,-x)`

We can apply this transformation to each of the vertices:

`\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}`

We can graph both figures as: