Question

what is the image of the point (-2, 7) 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 rule is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

For the point $(-2,7)$, where $x = - 2$ and $y = 7$. Then $-x=-(-2)=2$ and $-y=-7$.

Answer:

$(2,-7)$