Question

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

Explanation:

Step1: Recall rotation rule

A 180 - degree rotation about the origin $(0,0)$ changes the sign of both the $x$ - and $y$ - coordinates of a point. If a point $Q(x,y)$ is rotated 180 degrees about the origin, its image $Q'( - x,-y)$. On the coordinate - plane, a 180 - degree rotation about the origin is equivalent to a reflection across the origin.

Step2: Analyze the position of point Q

Point $Q$ is on the $x$ - axis at $x=-2,y = 0$. When rotated 180 degrees about the origin, the new $x$ - coordinate is $-(-2)=2$ and the new $y$ - coordinate is $-0 = 0$. Point $B$ is located at $(2,0)$ on the $x$ - axis.

Answer:

B. Point B