Question

1. 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

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

Step2: Apply the rule

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

Answer:

B. $(-4,-5)$