Question

what is the result of rotating the point (-4,5) 180 degrees around the origin?
a. (-4,-5)
b. (-5,4)
c. (4,-5)
d. (4,5)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 180 degrees around the origin is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

For the point $(-4,5)$, when we apply the rule, $x = - 4$ and $y = 5$. So $-x=-(-4)=4$ and $-y=-5$. The new - point is $(4, - 5)$.

Answer:

C. $(4,-5)$