Question

what is the image of the point (-2, 4) after a rotation of 180° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° counter - clockwise about the origin, the new point $(x',y')$ is given by $(x',y')=(-x,-y)$.

Step2: Apply the rule

For the point $(-2,4)$, where $x = - 2$ and $y = 4$. Then $x'=-(-2)=2$ and $y'=-4$.

Answer:

$(2,-4)$