Question

1. what is the effect of a 180 - degree rotation around the origin of the point (-2,-3)? a. (2,3) b. (-2,-3) c. (-3,2) d. (2,-3)

Explanation:

Step1: Recall rotation rule

For a 180 - degree rotation around the origin, the rule is $(x,y)\to(-x,-y)$.

Step2: Apply the rule

Given the point $(-2,-3)$, when we apply the rule, $x=-2$ and $y = - 3$. So $-x=-(-2)=2$ and $-y=-(-3)=3$. The new point is $(2,3)$.

Answer:

a. $(2,3)$