Question

May I please get help with this. For I have tried many times but still could not get the rotation correct

Answer 1

Let us write out the coordinates of the parent image given

Let us name the triangle ABC

`\begin{gathered} A\rightarrow(1,5) \\ B\rightarrow(-3,2) \\ C\rightarrow(-5,4) \end{gathered}`

Therefore, the rule for the rotation 90 degrees counterclockwise about the origin is,

`A(x,y)\rightarrow A^(\prime)(-y,x)`

Let us now obtain the coordinates of the transformed image

`\begin{gathered} A(1,5)\rightarrow A^(\prime)(-5,1) \\ B(-3,2)\rightarrow B^(\prime)(-2,-3) \\ C(-5,4)\rightarrow C^(\prime)(-4,-5) \end{gathered}`

Hence, the coordinates of the transformed image are

`\begin{gathered} A^(\prime)(-5,1) \\ B^(\prime)(-2,-3) \\ C^(\prime)(-4,-5) \end{gathered}`

Let us now plot the transformed image