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

When a point $(x,y)$ is rotated 180° about the origin $(0,0)$, the new - point is $(-x,-y)$. Point $Q$ is in the negative $x$ - axis. Its coordinates are some $(-x,0)$ where $x>0$. After a 180° rotation about the origin, the new point will be on the positive $x$ - axis with coordinates $(x,0)$.

Step2: Identify the image point

Among the points $A$, $B$, $C$, and $D$, point $B$ is on the positive $x$ - axis and is the image of point $Q$ after a 180° rotation about the origin.

Answer:

B. $B$