Question

1. what is the result of rotating the point (6, - 3) 180 degrees around the origin?

a. (-6,3)
b. (3, - 6)
c. (-3,-6)
d. (6,3)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule to the point $(6, - 3)$

For the point $(x = 6,y=-3)$, we have $x'=-6$ and $y'=-(-3)=3$.

Answer:

a. $(-6,3)$