Question

select the rule that maps figure a onto figure b (1 point)

Explanation:

Step1: Recall transformation rules

Reflection over the y - axis has the rule $(x,y)\to(-x,y)$. Rotation 180 - degrees about the origin has the rule $(x,y)\to(-x,-y)$. Rotation 90 - degrees counter - clockwise about the origin has the rule $(x,y)\to(-y,x)$.

Step2: Analyze the figures

By observing the coordinates of corresponding points of Figure A and Figure B, we can see that for each point $(x,y)$ in Figure A, the corresponding point in Figure B is $(-x,-y)$. This is the rule for a 180 - degree rotation about the origin.

Answer:

$R_{180^{\circ}}$