point q was rotated about the origin (0,0) by 180°. which point is the image of q? choose 1 answer:

point q was rotated about the origin (0,0) by 180°. which point is the image of q? choose 1 answer:

point q was rotated about the origin (0,0) by 180°. which point is the image of q? choose 1 answer:

Answer

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180 - degrees about the origin, the new coordinates are $(-x,-y)$. Point $Q$ is on the $x$ - axis at $x=-3,y = 0$.

Step2: Apply the rule

For point $Q(-3,0)$, after 180 - degree rotation about the origin, the new $x$ - coordinate is $-(-3)=3$ and the new $y$ - coordinate is $-0 = 0$. Point $B$ has coordinates $(3,0)$.

Answer:

B. B