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 180° rotation rule

A \(180^\circ\) rotation about the origin \((x,y)\to(-x,-y)\).

Step2: Find coordinates of Q

From the graph, Q is at \((-4,0)\).

Step3: Apply rotation rule

For \(Q(-4,0)\), after \(180^\circ\) rotation: \(x'=-(-4)=4\), \(y'=-0 = 0\). So the image is \((4,0)\), which is point B.

Answer:

B. B