Question

which of the following graphs match the indicated rotation? Point “R” Rotated 90 degrees about the origin.

Answer 1

The rule for a 90° rotation about the origin is:

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

then, if we select one of the points of the figure, A(-2,1), and apply the transformation,

`A(-2,1)\rightarrow A^(\prime)(-1,-2)`

do the same for the other three points,

`\begin{gathered} B(3,3)\rightarrow B^(\prime)(-3,3) \\ C(4,0)\rightarrow C^(\prime)(0,4) \end{gathered}`

select the graph with all three points.

Answer:

The correct answer is option 4.