Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Identify coordinates of Q

From the graph, point $Q$ has coordinates $(- 3,0)$.

Step3: Apply rotation rule

Applying the rule $(x,y)\to(-x,-y)$ to $Q(-3,0)$, we get $(-(-3),-0)=(3,0)$.

Step4: Locate the new - point

The point on the graph with coordinates $(3,0)$ is point $B$.

Answer:

B. $B$