Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point

For the point $(4,5)$, where $x = 4$ and $y = 5$, applying the rule gives $(-4,-5)$.

Answer:

d. $(-4,-5)$