Question

what is the result of rotating the point (6, -3) 180 degrees around the origin?
a. (6,3)
b. (-6,3)
c. (-3,-6)
d. (3,-6)

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180 - degrees around the origin, the new - point is $(-x,-y)$.

Step2: Apply the rule

Given the point $(6, - 3)$, where $x = 6$ and $y=-3$. After rotation, $x$ becomes $-x=-6$ and $y$ becomes $-y = 3$. So the new point is $(-6,3)$.

Answer:

B. $(-6,3)$