Question

question
what is the image of the point (-7,4) 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 rule is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

For the point $(-7,4)$, we have $x = - 7$ and $y = 4$. Then $-x=-(-7)=7$ and $-y=-4$.

Answer:

$(7,-4)$