Question

what are the coordinates of points J,C,Y and K after rotating them counterclockwise 180 degrees about the origin and then translating them 2 units down?

Answer 1

Explanation

To find the answer, we will have to list out the coordinates of J,C, Y, and K as follow

`\begin{gathered} J=(2,-1) \\ C=(2,2) \\ K=(-1,-1) \\ Y=(-1,2) \end{gathered}`

When the object is rotated 180 degrees anticlockwise

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

`\begin{gathered} J^(\prime)=(-2,1) \\ C^(\prime)=(-2,-2) \\ K^(\prime)=(1,1) \\ Y^(\prime)=(1,-2) \end{gathered}`

Finally

By translating 2 units down

We will have the final answer by subtracting 2 from the y-cordinate.

The final answer is

`\begin{gathered} J^(\prime)=(-2,-1) \\ C^(\prime)=(-2,-4) \\ K^(\prime)=(1,-1) \\ Y^(\prime)=(1,-4) \end{gathered}`